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Finding the Third Proportional to 119,159,496 and 257,129,764

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Solution

The third proportional to 119,159,496 and 257,129,764 is: 554,850,580.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,159,496 : 257,129,764 = 257,129,764 : x
  2. Step 2: Convert to fraction form
    119,159,496/257,129,764 = 257,129,764/x
  3. Step 3: Cross multiply
    119,159,496x = 257,129,764 × 257,129,764
  4. Step 4: Simplify right side
    119,159,496x = 66,115,715,534,695,696
  5. Step 5: Solve for x
    x = 66,115,715,534,695,696/119,159,496
  6. Step 6: Final answer
    x = 554,850,580.56

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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.