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Finding the Third Proportional to 97,417 and 150,229.50

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Solution

The third proportional to 97,417 and 150,229.50 is: 231,673.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,417 : 150,229.50 = 150,229.50 : x
  2. Step 2: Convert to fraction form
    97,417/150,229.50 = 150,229.50/x
  3. Step 3: Cross multiply
    97,417x = 150,229.50 × 150,229.50
  4. Step 4: Simplify right side
    97,417x = 22,568,902,670.25
  5. Step 5: Solve for x
    x = 22,568,902,670.25/97,417
  6. Step 6: Final answer
    x = 231,673.14

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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.