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Finding the Third Proportional to 131,016,136.50 and 280,436,644.13

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Solution

The third proportional to 131,016,136.50 and 280,436,644.13 is: 600,267,367.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,016,136.50 : 280,436,644.13 = 280,436,644.13 : x
  2. Step 2: Convert to fraction form
    131,016,136.50/280,436,644.13 = 280,436,644.13/x
  3. Step 3: Cross multiply
    131,016,136.50x = 280,436,644.13 × 280,436,644.13
  4. Step 4: Simplify right side
    131,016,136.50x = 78,644,711,368,091,904
  5. Step 5: Solve for x
    x = 78,644,711,368,091,904/131,016,136.50
  6. Step 6: Final answer
    x = 600,267,367.59

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