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Finding the Third Proportional to 119,841,474.38 and 257,884,772.63

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Solution

The third proportional to 119,841,474.38 and 257,884,772.63 is: 554,937,731.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,841,474.38 : 257,884,772.63 = 257,884,772.63 : x
  2. Step 2: Convert to fraction form
    119,841,474.38/257,884,772.63 = 257,884,772.63/x
  3. Step 3: Cross multiply
    119,841,474.38x = 257,884,772.63 × 257,884,772.63
  4. Step 4: Simplify right side
    119,841,474.38x = 66,504,555,951,847,952
  5. Step 5: Solve for x
    x = 66,504,555,951,847,952/119,841,474.38
  6. Step 6: Final answer
    x = 554,937,731.69

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.