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Finding the Third Proportional to 88,171.88 and 190,282.50

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Solution

The third proportional to 88,171.88 and 190,282.50 is: 410,646.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,171.88 : 190,282.50 = 190,282.50 : x
  2. Step 2: Convert to fraction form
    88,171.88/190,282.50 = 190,282.50/x
  3. Step 3: Cross multiply
    88,171.88x = 190,282.50 × 190,282.50
  4. Step 4: Simplify right side
    88,171.88x = 36,207,429,806.25
  5. Step 5: Solve for x
    x = 36,207,429,806.25/88,171.88
  6. Step 6: Final answer
    x = 410,646.02

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.