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Finding the Third Proportional to 103,624.88 and 152,037.84

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Solution

The third proportional to 103,624.88 and 152,037.84 is: 223,069.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,624.88 : 152,037.84 = 152,037.84 : x
  2. Step 2: Convert to fraction form
    103,624.88/152,037.84 = 152,037.84/x
  3. Step 3: Cross multiply
    103,624.88x = 152,037.84 × 152,037.84
  4. Step 4: Simplify right side
    103,624.88x = 23,115,505,932.15
  5. Step 5: Solve for x
    x = 23,115,505,932.15/103,624.88
  6. Step 6: Final answer
    x = 223,069.08

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.