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Finding the Third Proportional to 125,398,776 and 193,689,468

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Solution

The third proportional to 125,398,776 and 193,689,468 is: 299,170,464.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,398,776 : 193,689,468 = 193,689,468 : x
  2. Step 2: Convert to fraction form
    125,398,776/193,689,468 = 193,689,468/x
  3. Step 3: Cross multiply
    125,398,776x = 193,689,468 × 193,689,468
  4. Step 4: Simplify right side
    125,398,776x = 37,515,610,014,123,024
  5. Step 5: Solve for x
    x = 37,515,610,014,123,024/125,398,776
  6. Step 6: Final answer
    x = 299,170,464.11

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.