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Finding the Third Proportional to 119,098,081 and 257,981,949.50

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Solution

The third proportional to 119,098,081 and 257,981,949.50 is: 558,822,490.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,098,081 : 257,981,949.50 = 257,981,949.50 : x
  2. Step 2: Convert to fraction form
    119,098,081/257,981,949.50 = 257,981,949.50/x
  3. Step 3: Cross multiply
    119,098,081x = 257,981,949.50 × 257,981,949.50
  4. Step 4: Simplify right side
    119,098,081x = 66,554,686,267,820,552
  5. Step 5: Solve for x
    x = 66,554,686,267,820,552/119,098,081
  6. Step 6: Final answer
    x = 558,822,490.75

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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.