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Finding the Third Proportional to 119,159,487 and 257,129,748

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Solution

The third proportional to 119,159,487 and 257,129,748 is: 554,850,553.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,159,487 : 257,129,748 = 257,129,748 : x
  2. Step 2: Convert to fraction form
    119,159,487/257,129,748 = 257,129,748/x
  3. Step 3: Cross multiply
    119,159,487x = 257,129,748 × 257,129,748
  4. Step 4: Simplify right side
    119,159,487x = 66,115,707,306,543,504
  5. Step 5: Solve for x
    x = 66,115,707,306,543,504/119,159,487
  6. Step 6: Final answer
    x = 554,850,553.41

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.