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Finding the Third Proportional to 99,017.44 and 149,002.03

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Solution

The third proportional to 99,017.44 and 149,002.03 is: 224,219.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,017.44 : 149,002.03 = 149,002.03 : x
  2. Step 2: Convert to fraction form
    99,017.44/149,002.03 = 149,002.03/x
  3. Step 3: Cross multiply
    99,017.44x = 149,002.03 × 149,002.03
  4. Step 4: Simplify right side
    99,017.44x = 22,201,605,316.63
  5. Step 5: Solve for x
    x = 22,201,605,316.63/99,017.44
  6. Step 6: Final answer
    x = 224,219.15

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Why These Related Problems?

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