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Finding the Third Proportional to 138,704,386 and 204,034,627

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Solution

The third proportional to 138,704,386 and 204,034,627 is: 300,135,635.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,704,386 : 204,034,627 = 204,034,627 : x
  2. Step 2: Convert to fraction form
    138,704,386/204,034,627 = 204,034,627/x
  3. Step 3: Cross multiply
    138,704,386x = 204,034,627 × 204,034,627
  4. Step 4: Simplify right side
    138,704,386x = 41,630,129,015,029,128
  5. Step 5: Solve for x
    x = 41,630,129,015,029,128/138,704,386
  6. Step 6: Final answer
    x = 300,135,635.33

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.