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Finding the Third Proportional to 114,757,386 and 172,472,400

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Solution

The third proportional to 114,757,386 and 172,472,400 is: 259,214,067.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,757,386 : 172,472,400 = 172,472,400 : x
  2. Step 2: Convert to fraction form
    114,757,386/172,472,400 = 172,472,400/x
  3. Step 3: Cross multiply
    114,757,386x = 172,472,400 × 172,472,400
  4. Step 4: Simplify right side
    114,757,386x = 29,746,728,761,760,000
  5. Step 5: Solve for x
    x = 29,746,728,761,760,000/114,757,386
  6. Step 6: Final answer
    x = 259,214,067.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.