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Finding the Third Proportional to 98,207.75 and 150,165.25

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Solution

The third proportional to 98,207.75 and 150,165.25 is: 229,611.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,207.75 : 150,165.25 = 150,165.25 : x
  2. Step 2: Convert to fraction form
    98,207.75/150,165.25 = 150,165.25/x
  3. Step 3: Cross multiply
    98,207.75x = 150,165.25 × 150,165.25
  4. Step 4: Simplify right side
    98,207.75x = 22,549,602,307.56
  5. Step 5: Solve for x
    x = 22,549,602,307.56/98,207.75
  6. Step 6: Final answer
    x = 229,611.23

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.