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Finding the Third Proportional to 38,148,934.50 and 80,350,380

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Solution

The third proportional to 38,148,934.50 and 80,350,380 is: 169,236,274.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,148,934.50 : 80,350,380 = 80,350,380 : x
  2. Step 2: Convert to fraction form
    38,148,934.50/80,350,380 = 80,350,380/x
  3. Step 3: Cross multiply
    38,148,934.50x = 80,350,380 × 80,350,380
  4. Step 4: Simplify right side
    38,148,934.50x = 6,456,183,566,144,400
  5. Step 5: Solve for x
    x = 6,456,183,566,144,400/38,148,934.50
  6. Step 6: Final answer
    x = 169,236,274.90

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.