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Finding the Third Proportional to 99,531 and 152,188.50

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Solution

The third proportional to 99,531 and 152,188.50 is: 232,704.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,531 : 152,188.50 = 152,188.50 : x
  2. Step 2: Convert to fraction form
    99,531/152,188.50 = 152,188.50/x
  3. Step 3: Cross multiply
    99,531x = 152,188.50 × 152,188.50
  4. Step 4: Simplify right side
    99,531x = 23,161,339,532.25
  5. Step 5: Solve for x
    x = 23,161,339,532.25/99,531
  6. Step 6: Final answer
    x = 232,704.78

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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.