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Finding the Third Proportional to 137,138,474 and 292,875,760

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Solution

The third proportional to 137,138,474 and 292,875,760 is: 625,471,527.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,138,474 : 292,875,760 = 292,875,760 : x
  2. Step 2: Convert to fraction form
    137,138,474/292,875,760 = 292,875,760/x
  3. Step 3: Cross multiply
    137,138,474x = 292,875,760 × 292,875,760
  4. Step 4: Simplify right side
    137,138,474x = 85,776,210,795,577,600
  5. Step 5: Solve for x
    x = 85,776,210,795,577,600/137,138,474
  6. Step 6: Final answer
    x = 625,471,527.38

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.