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Finding the Third Proportional to 71,260,769 and 152,599,234

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Solution

The third proportional to 71,260,769 and 152,599,234 is: 326,779,047.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,260,769 : 152,599,234 = 152,599,234 : x
  2. Step 2: Convert to fraction form
    71,260,769/152,599,234 = 152,599,234/x
  3. Step 3: Cross multiply
    71,260,769x = 152,599,234 × 152,599,234
  4. Step 4: Simplify right side
    71,260,769x = 23,286,526,217,386,756
  5. Step 5: Solve for x
    x = 23,286,526,217,386,756/71,260,769
  6. Step 6: Final answer
    x = 326,779,047.49

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.