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Finding the Third Proportional to 119,098,083 and 257,981,954

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Solution

The third proportional to 119,098,083 and 257,981,954 is: 558,822,500.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,098,083 : 257,981,954 = 257,981,954 : x
  2. Step 2: Convert to fraction form
    119,098,083/257,981,954 = 257,981,954/x
  3. Step 3: Cross multiply
    119,098,083x = 257,981,954 × 257,981,954
  4. Step 4: Simplify right side
    119,098,083x = 66,554,688,589,658,112
  5. Step 5: Solve for x
    x = 66,554,688,589,658,112/119,098,083
  6. Step 6: Final answer
    x = 558,822,500.86

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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.