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Finding the Third Proportional to 119,098,078.50 and 257,981,945.25

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Solution

The third proportional to 119,098,078.50 and 257,981,945.25 is: 558,822,484.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,098,078.50 : 257,981,945.25 = 257,981,945.25 : x
  2. Step 2: Convert to fraction form
    119,098,078.50/257,981,945.25 = 257,981,945.25/x
  3. Step 3: Cross multiply
    119,098,078.50x = 257,981,945.25 × 257,981,945.25
  4. Step 4: Simplify right side
    119,098,078.50x = 66,554,684,074,974,000
  5. Step 5: Solve for x
    x = 66,554,684,074,974,000/119,098,078.50
  6. Step 6: Final answer
    x = 558,822,484.07

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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.