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Finding the Third Proportional to 143,749,082.25 and 234,704,469.25

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Solution

The third proportional to 143,749,082.25 and 234,704,469.25 is: 383,210,710.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,749,082.25 : 234,704,469.25 = 234,704,469.25 : x
  2. Step 2: Convert to fraction form
    143,749,082.25/234,704,469.25 = 234,704,469.25/x
  3. Step 3: Cross multiply
    143,749,082.25x = 234,704,469.25 × 234,704,469.25
  4. Step 4: Simplify right side
    143,749,082.25x = 55,086,187,885,924,192
  5. Step 5: Solve for x
    x = 55,086,187,885,924,192/143,749,082.25
  6. Step 6: Final answer
    x = 383,210,710.10

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.