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Finding the Third Proportional to 109,395.56 and 147,668.06

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Solution

The third proportional to 109,395.56 and 147,668.06 is: 199,330.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,395.56 : 147,668.06 = 147,668.06 : x
  2. Step 2: Convert to fraction form
    109,395.56/147,668.06 = 147,668.06/x
  3. Step 3: Cross multiply
    109,395.56x = 147,668.06 × 147,668.06
  4. Step 4: Simplify right side
    109,395.56x = 21,805,856,682.50
  5. Step 5: Solve for x
    x = 21,805,856,682.50/109,395.56
  6. Step 6: Final answer
    x = 199,330.36

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.