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Finding the Third Proportional to 243,057,469.50 and 532,217,439

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Solution

The third proportional to 243,057,469.50 and 532,217,439 is: 1,165,384,478.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,057,469.50 : 532,217,439 = 532,217,439 : x
  2. Step 2: Convert to fraction form
    243,057,469.50/532,217,439 = 532,217,439/x
  3. Step 3: Cross multiply
    243,057,469.50x = 532,217,439 × 532,217,439
  4. Step 4: Simplify right side
    243,057,469.50x = 283,255,402,375,718,720
  5. Step 5: Solve for x
    x = 283,255,402,375,718,720/243,057,469.50
  6. Step 6: Final answer
    x = 1,165,384,478.65

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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.