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Finding the Third Proportional to 99,369 and 150,337.50

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Solution

The third proportional to 99,369 and 150,337.50 is: 227,448.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,369 : 150,337.50 = 150,337.50 : x
  2. Step 2: Convert to fraction form
    99,369/150,337.50 = 150,337.50/x
  3. Step 3: Cross multiply
    99,369x = 150,337.50 × 150,337.50
  4. Step 4: Simplify right side
    99,369x = 22,601,363,906.25
  5. Step 5: Solve for x
    x = 22,601,363,906.25/99,369
  6. Step 6: Final answer
    x = 227,448.84

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.