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Finding the Third Proportional to 99,801.75 and 149,308.50

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Solution

The third proportional to 99,801.75 and 149,308.50 is: 223,373.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,801.75 : 149,308.50 = 149,308.50 : x
  2. Step 2: Convert to fraction form
    99,801.75/149,308.50 = 149,308.50/x
  3. Step 3: Cross multiply
    99,801.75x = 149,308.50 × 149,308.50
  4. Step 4: Simplify right side
    99,801.75x = 22,293,028,172.25
  5. Step 5: Solve for x
    x = 22,293,028,172.25/99,801.75
  6. Step 6: Final answer
    x = 223,373.12

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.