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Finding the Third Proportional to 138,359,649 and 212,228,403

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Solution

The third proportional to 138,359,649 and 212,228,403 is: 325,534,903.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,359,649 : 212,228,403 = 212,228,403 : x
  2. Step 2: Convert to fraction form
    138,359,649/212,228,403 = 212,228,403/x
  3. Step 3: Cross multiply
    138,359,649x = 212,228,403 × 212,228,403
  4. Step 4: Simplify right side
    138,359,649x = 45,040,895,039,930,408
  5. Step 5: Solve for x
    x = 45,040,895,039,930,408/138,359,649
  6. Step 6: Final answer
    x = 325,534,903.89

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.