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Finding the Third Proportional to 99,187 and 148,997

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Solution

The third proportional to 99,187 and 148,997 is: 223,820.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,187 : 148,997 = 148,997 : x
  2. Step 2: Convert to fraction form
    99,187/148,997 = 148,997/x
  3. Step 3: Cross multiply
    99,187x = 148,997 × 148,997
  4. Step 4: Simplify right side
    99,187x = 22,200,106,009
  5. Step 5: Solve for x
    x = 22,200,106,009/99,187
  6. Step 6: Final answer
    x = 223,820.72

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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.