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Finding the Third Proportional to 99,685.50 and 148,088.25

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Solution

The third proportional to 99,685.50 and 148,088.25 is: 219,993.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,685.50 : 148,088.25 = 148,088.25 : x
  2. Step 2: Convert to fraction form
    99,685.50/148,088.25 = 148,088.25/x
  3. Step 3: Cross multiply
    99,685.50x = 148,088.25 × 148,088.25
  4. Step 4: Simplify right side
    99,685.50x = 21,930,129,788.06
  5. Step 5: Solve for x
    x = 21,930,129,788.06/99,685.50
  6. Step 6: Final answer
    x = 219,993.18

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.