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Finding the Third Proportional to 99,164.25 and 153,933.75

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Solution

The third proportional to 99,164.25 and 153,933.75 is: 238,953.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,164.25 : 153,933.75 = 153,933.75 : x
  2. Step 2: Convert to fraction form
    99,164.25/153,933.75 = 153,933.75/x
  3. Step 3: Cross multiply
    99,164.25x = 153,933.75 × 153,933.75
  4. Step 4: Simplify right side
    99,164.25x = 23,695,599,389.06
  5. Step 5: Solve for x
    x = 23,695,599,389.06/99,164.25
  6. Step 6: Final answer
    x = 238,953.04

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.