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Finding the Third Proportional to 47,265,943.50 and 102,598,677

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Solution

The third proportional to 47,265,943.50 and 102,598,677 is: 222,707,677.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,265,943.50 : 102,598,677 = 102,598,677 : x
  2. Step 2: Convert to fraction form
    47,265,943.50/102,598,677 = 102,598,677/x
  3. Step 3: Cross multiply
    47,265,943.50x = 102,598,677 × 102,598,677
  4. Step 4: Simplify right side
    47,265,943.50x = 10,526,488,522,150,328
  5. Step 5: Solve for x
    x = 10,526,488,522,150,328/47,265,943.50
  6. Step 6: Final answer
    x = 222,707,677.93

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.