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Finding the Third Proportional to 67,084,284.38 and 141,903,295.88

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Solution

The third proportional to 67,084,284.38 and 141,903,295.88 is: 300,167,849.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,084,284.38 : 141,903,295.88 = 141,903,295.88 : x
  2. Step 2: Convert to fraction form
    67,084,284.38/141,903,295.88 = 141,903,295.88/x
  3. Step 3: Cross multiply
    67,084,284.38x = 141,903,295.88 × 141,903,295.88
  4. Step 4: Simplify right side
    67,084,284.38x = 20,136,545,380,187,792
  5. Step 5: Solve for x
    x = 20,136,545,380,187,792/67,084,284.38
  6. Step 6: Final answer
    x = 300,167,849.56

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.