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Finding the Third Proportional to 137,138,468 and 292,875,748

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Solution

The third proportional to 137,138,468 and 292,875,748 is: 625,471,503.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,138,468 : 292,875,748 = 292,875,748 : x
  2. Step 2: Convert to fraction form
    137,138,468/292,875,748 = 292,875,748/x
  3. Step 3: Cross multiply
    137,138,468x = 292,875,748 × 292,875,748
  4. Step 4: Simplify right side
    137,138,468x = 85,776,203,766,559,504
  5. Step 5: Solve for x
    x = 85,776,203,766,559,504/137,138,468
  6. Step 6: Final answer
    x = 625,471,503.49

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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.