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Finding the Third Proportional to 205,780,452,108 and 445,755,247,104

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Solution

The third proportional to 205,780,452,108 and 445,755,247,104 is: 965,581,221,565.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,780,452,108 : 445,755,247,104 = 445,755,247,104 : x
  2. Step 2: Convert to fraction form
    205,780,452,108/445,755,247,104 = 445,755,247,104/x
  3. Step 3: Cross multiply
    205,780,452,108x = 445,755,247,104 × 445,755,247,104
  4. Step 4: Simplify right side
    205,780,452,108x = 198,697,740,320,748,110,610,432
  5. Step 5: Solve for x
    x = 198,697,740,320,748,110,610,432/205,780,452,108
  6. Step 6: Final answer
    x = 965,581,221,565.52

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.