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Finding the Third Proportional to 88,233.75 and 191,045.25

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Solution

The third proportional to 88,233.75 and 191,045.25 is: 413,654.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,233.75 : 191,045.25 = 191,045.25 : x
  2. Step 2: Convert to fraction form
    88,233.75/191,045.25 = 191,045.25/x
  3. Step 3: Cross multiply
    88,233.75x = 191,045.25 × 191,045.25
  4. Step 4: Simplify right side
    88,233.75x = 36,498,287,547.56
  5. Step 5: Solve for x
    x = 36,498,287,547.56/88,233.75
  6. Step 6: Final answer
    x = 413,654.50

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