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Finding the Third Proportional to 71,260,767 and 152,599,230

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Solution

The third proportional to 71,260,767 and 152,599,230 is: 326,779,039.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,260,767 : 152,599,230 = 152,599,230 : x
  2. Step 2: Convert to fraction form
    71,260,767/152,599,230 = 152,599,230/x
  3. Step 3: Cross multiply
    71,260,767x = 152,599,230 × 152,599,230
  4. Step 4: Simplify right side
    71,260,767x = 23,286,524,996,592,900
  5. Step 5: Solve for x
    x = 23,286,524,996,592,900/71,260,767
  6. Step 6: Final answer
    x = 326,779,039.53

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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.