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Finding the Third Proportional to 137,138,472 and 292,875,756

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Solution

The third proportional to 137,138,472 and 292,875,756 is: 625,471,519.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,138,472 : 292,875,756 = 292,875,756 : x
  2. Step 2: Convert to fraction form
    137,138,472/292,875,756 = 292,875,756/x
  3. Step 3: Cross multiply
    137,138,472x = 292,875,756 × 292,875,756
  4. Step 4: Simplify right side
    137,138,472x = 85,776,208,452,571,536
  5. Step 5: Solve for x
    x = 85,776,208,452,571,536/137,138,472
  6. Step 6: Final answer
    x = 625,471,519.42

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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.