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Finding the Third Proportional to 101,123.44 and 224,693.16

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Solution

The third proportional to 101,123.44 and 224,693.16 is: 499,261.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,123.44 : 224,693.16 = 224,693.16 : x
  2. Step 2: Convert to fraction form
    101,123.44/224,693.16 = 224,693.16/x
  3. Step 3: Cross multiply
    101,123.44x = 224,693.16 × 224,693.16
  4. Step 4: Simplify right side
    101,123.44x = 50,487,014,465.59
  5. Step 5: Solve for x
    x = 50,487,014,465.59/101,123.44
  6. Step 6: Final answer
    x = 499,261.26

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.