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Finding the Third Proportional to 131,048,614.13 and 284,373,453.38

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Solution

The third proportional to 131,048,614.13 and 284,373,453.38 is: 617,085,968.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,048,614.13 : 284,373,453.38 = 284,373,453.38 : x
  2. Step 2: Convert to fraction form
    131,048,614.13/284,373,453.38 = 284,373,453.38/x
  3. Step 3: Cross multiply
    131,048,614.13x = 284,373,453.38 × 284,373,453.38
  4. Step 4: Simplify right side
    131,048,614.13x = 80,868,260,984,423,296
  5. Step 5: Solve for x
    x = 80,868,260,984,423,296/131,048,614.13
  6. Step 6: Final answer
    x = 617,085,968.63

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