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Finding the Third Proportional to 87,833.11 and 190,417.08

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Solution

The third proportional to 87,833.11 and 190,417.08 is: 412,813.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,833.11 : 190,417.08 = 190,417.08 : x
  2. Step 2: Convert to fraction form
    87,833.11/190,417.08 = 190,417.08/x
  3. Step 3: Cross multiply
    87,833.11x = 190,417.08 × 190,417.08
  4. Step 4: Simplify right side
    87,833.11x = 36,258,663,641.66
  5. Step 5: Solve for x
    x = 36,258,663,641.66/87,833.11
  6. Step 6: Final answer
    x = 412,813.16

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.