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Finding the Third Proportional to 88,482 and 192,514.50

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Solution

The third proportional to 88,482 and 192,514.50 is: 418,862.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,482 : 192,514.50 = 192,514.50 : x
  2. Step 2: Convert to fraction form
    88,482/192,514.50 = 192,514.50/x
  3. Step 3: Cross multiply
    88,482x = 192,514.50 × 192,514.50
  4. Step 4: Simplify right side
    88,482x = 37,061,832,710.25
  5. Step 5: Solve for x
    x = 37,061,832,710.25/88,482
  6. Step 6: Final answer
    x = 418,862.96

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