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Finding the Third Proportional to 135,985,351.50 and 291,373,834.50

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Solution

The third proportional to 135,985,351.50 and 291,373,834.50 is: 624,322,476.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,985,351.50 : 291,373,834.50 = 291,373,834.50 : x
  2. Step 2: Convert to fraction form
    135,985,351.50/291,373,834.50 = 291,373,834.50/x
  3. Step 3: Cross multiply
    135,985,351.50x = 291,373,834.50 × 291,373,834.50
  4. Step 4: Simplify right side
    135,985,351.50x = 84,898,711,431,233,392
  5. Step 5: Solve for x
    x = 84,898,711,431,233,392/135,985,351.50
  6. Step 6: Final answer
    x = 624,322,476.61

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Why These Related Problems?

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