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Finding the Third Proportional to 99,986.91 and 149,570.30

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Solution

The third proportional to 99,986.91 and 149,570.30 is: 223,742.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,986.91 : 149,570.30 = 149,570.30 : x
  2. Step 2: Convert to fraction form
    99,986.91/149,570.30 = 149,570.30/x
  3. Step 3: Cross multiply
    99,986.91x = 149,570.30 × 149,570.30
  4. Step 4: Simplify right side
    99,986.91x = 22,371,273,707.28
  5. Step 5: Solve for x
    x = 22,371,273,707.28/99,986.91
  6. Step 6: Final answer
    x = 223,742.03

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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.