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Finding the Third Proportional to 192,156,632,401.50 and 400,217,951,758.48

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Solution

The third proportional to 192,156,632,401.50 and 400,217,951,758.48 is: 833,561,698,641.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,156,632,401.50 : 400,217,951,758.48 = 400,217,951,758.48 : x
  2. Step 2: Convert to fraction form
    192,156,632,401.50/400,217,951,758.48 = 400,217,951,758.48/x
  3. Step 3: Cross multiply
    192,156,632,401.50x = 400,217,951,758.48 × 400,217,951,758.48
  4. Step 4: Simplify right side
    192,156,632,401.50x = 160,174,408,909,753,021,366,272
  5. Step 5: Solve for x
    x = 160,174,408,909,753,021,366,272/192,156,632,401.50
  6. Step 6: Final answer
    x = 833,561,698,641.13

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.