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Finding the Third Proportional to 87,513 and 190,863.50

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Solution

The third proportional to 87,513 and 190,863.50 is: 416,268.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,513 : 190,863.50 = 190,863.50 : x
  2. Step 2: Convert to fraction form
    87,513/190,863.50 = 190,863.50/x
  3. Step 3: Cross multiply
    87,513x = 190,863.50 × 190,863.50
  4. Step 4: Simplify right side
    87,513x = 36,428,875,632.25
  5. Step 5: Solve for x
    x = 36,428,875,632.25/87,513
  6. Step 6: Final answer
    x = 416,268.16

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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.