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Finding the Third Proportional to 138,050,167 and 306,745,503

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Solution

The third proportional to 138,050,167 and 306,745,503 is: 681,584,134.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,050,167 : 306,745,503 = 306,745,503 : x
  2. Step 2: Convert to fraction form
    138,050,167/306,745,503 = 306,745,503/x
  3. Step 3: Cross multiply
    138,050,167x = 306,745,503 × 306,745,503
  4. Step 4: Simplify right side
    138,050,167x = 94,092,803,610,723,008
  5. Step 5: Solve for x
    x = 94,092,803,610,723,008/138,050,167
  6. Step 6: Final answer
    x = 681,584,134.63

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.