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Finding the Third Proportional to 106,587,819 and 233,234,923.50

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Solution

The third proportional to 106,587,819 and 233,234,923.50 is: 510,363,473.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,587,819 : 233,234,923.50 = 233,234,923.50 : x
  2. Step 2: Convert to fraction form
    106,587,819/233,234,923.50 = 233,234,923.50/x
  3. Step 3: Cross multiply
    106,587,819x = 233,234,923.50 × 233,234,923.50
  4. Step 4: Simplify right side
    106,587,819x = 54,398,529,540,050,856
  5. Step 5: Solve for x
    x = 54,398,529,540,050,856/106,587,819
  6. Step 6: Final answer
    x = 510,363,473.52

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.