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Finding the Third Proportional to 87,008 and 190,823.50

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Solution

The third proportional to 87,008 and 190,823.50 is: 418,508.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,008 : 190,823.50 = 190,823.50 : x
  2. Step 2: Convert to fraction form
    87,008/190,823.50 = 190,823.50/x
  3. Step 3: Cross multiply
    87,008x = 190,823.50 × 190,823.50
  4. Step 4: Simplify right side
    87,008x = 36,413,608,152.25
  5. Step 5: Solve for x
    x = 36,413,608,152.25/87,008
  6. Step 6: Final answer
    x = 418,508.74

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.