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Finding the Third Proportional to 114,203,524 and 169,231,342

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Solution

The third proportional to 114,203,524 and 169,231,342 is: 250,773,759.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,203,524 : 169,231,342 = 169,231,342 : x
  2. Step 2: Convert to fraction form
    114,203,524/169,231,342 = 169,231,342/x
  3. Step 3: Cross multiply
    114,203,524x = 169,231,342 × 169,231,342
  4. Step 4: Simplify right side
    114,203,524x = 28,639,247,115,120,964
  5. Step 5: Solve for x
    x = 28,639,247,115,120,964/114,203,524
  6. Step 6: Final answer
    x = 250,773,759.97

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.