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Finding the Third Proportional to 146,612,904 and 215,126,408

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Solution

The third proportional to 146,612,904 and 215,126,408 is: 315,656,877.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,612,904 : 215,126,408 = 215,126,408 : x
  2. Step 2: Convert to fraction form
    146,612,904/215,126,408 = 215,126,408/x
  3. Step 3: Cross multiply
    146,612,904x = 215,126,408 × 215,126,408
  4. Step 4: Simplify right side
    146,612,904x = 46,279,371,418,982,464
  5. Step 5: Solve for x
    x = 46,279,371,418,982,464/146,612,904
  6. Step 6: Final answer
    x = 315,656,877.10

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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.