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Finding the Third Proportional to 87,833.11 and 191,567.53

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Solution

The third proportional to 87,833.11 and 191,567.53 is: 417,816.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,833.11 : 191,567.53 = 191,567.53 : x
  2. Step 2: Convert to fraction form
    87,833.11/191,567.53 = 191,567.53/x
  3. Step 3: Cross multiply
    87,833.11x = 191,567.53 × 191,567.53
  4. Step 4: Simplify right side
    87,833.11x = 36,698,119,029.22
  5. Step 5: Solve for x
    x = 36,698,119,029.22/87,833.11
  6. Step 6: Final answer
    x = 417,816.46

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.