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Finding the Third Proportional to 113,470.88 and 150,521.06

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Solution

The third proportional to 113,470.88 and 150,521.06 is: 199,668.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,470.88 : 150,521.06 = 150,521.06 : x
  2. Step 2: Convert to fraction form
    113,470.88/150,521.06 = 150,521.06/x
  3. Step 3: Cross multiply
    113,470.88x = 150,521.06 × 150,521.06
  4. Step 4: Simplify right side
    113,470.88x = 22,656,590,256.13
  5. Step 5: Solve for x
    x = 22,656,590,256.13/113,470.88
  6. Step 6: Final answer
    x = 199,668.77

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.