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Finding the Third Proportional to 99,588.75 and 152,413.13

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Solution

The third proportional to 99,588.75 and 152,413.13 is: 233,256.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,588.75 : 152,413.13 = 152,413.13 : x
  2. Step 2: Convert to fraction form
    99,588.75/152,413.13 = 152,413.13/x
  3. Step 3: Cross multiply
    99,588.75x = 152,413.13 × 152,413.13
  4. Step 4: Simplify right side
    99,588.75x = 23,229,760,672.27
  5. Step 5: Solve for x
    x = 23,229,760,672.27/99,588.75
  6. Step 6: Final answer
    x = 233,256.88

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.