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Finding the Third Proportional to 99,964.13 and 153,606.38

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Solution

The third proportional to 99,964.13 and 153,606.38 is: 236,033.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,964.13 : 153,606.38 = 153,606.38 : x
  2. Step 2: Convert to fraction form
    99,964.13/153,606.38 = 153,606.38/x
  3. Step 3: Cross multiply
    99,964.13x = 153,606.38 × 153,606.38
  4. Step 4: Simplify right side
    99,964.13x = 23,594,918,440.64
  5. Step 5: Solve for x
    x = 23,594,918,440.64/99,964.13
  6. Step 6: Final answer
    x = 236,033.86

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.