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Finding the Third Proportional to 101,395.38 and 234,722.88

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Solution

The third proportional to 101,395.38 and 234,722.88 is: 543,366.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,395.38 : 234,722.88 = 234,722.88 : x
  2. Step 2: Convert to fraction form
    101,395.38/234,722.88 = 234,722.88/x
  3. Step 3: Cross multiply
    101,395.38x = 234,722.88 × 234,722.88
  4. Step 4: Simplify right side
    101,395.38x = 55,094,828,048.27
  5. Step 5: Solve for x
    x = 55,094,828,048.27/101,395.38
  6. Step 6: Final answer
    x = 543,366.28

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.