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Finding the Third Proportional to 39,182,256 and 91,496,700

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Solution

The third proportional to 39,182,256 and 91,496,700 is: 213,659,114.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,182,256 : 91,496,700 = 91,496,700 : x
  2. Step 2: Convert to fraction form
    39,182,256/91,496,700 = 91,496,700/x
  3. Step 3: Cross multiply
    39,182,256x = 91,496,700 × 91,496,700
  4. Step 4: Simplify right side
    39,182,256x = 8,371,646,110,890,000
  5. Step 5: Solve for x
    x = 8,371,646,110,890,000/39,182,256
  6. Step 6: Final answer
    x = 213,659,114.24

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.