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Finding the Third Proportional to 147,295,134 and 220,942,674

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Solution

The third proportional to 147,295,134 and 220,942,674 is: 331,413,970.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,295,134 : 220,942,674 = 220,942,674 : x
  2. Step 2: Convert to fraction form
    147,295,134/220,942,674 = 220,942,674/x
  3. Step 3: Cross multiply
    147,295,134x = 220,942,674 × 220,942,674
  4. Step 4: Simplify right side
    147,295,134x = 48,815,665,194,270,272
  5. Step 5: Solve for x
    x = 48,815,665,194,270,272/147,295,134
  6. Step 6: Final answer
    x = 331,413,970.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.