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Finding the Third Proportional to 97,854.75 and 146,404.13

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Solution

The third proportional to 97,854.75 and 146,404.13 is: 219,040.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,854.75 : 146,404.13 = 146,404.13 : x
  2. Step 2: Convert to fraction form
    97,854.75/146,404.13 = 146,404.13/x
  3. Step 3: Cross multiply
    97,854.75x = 146,404.13 × 146,404.13
  4. Step 4: Simplify right side
    97,854.75x = 21,434,167,817.02
  5. Step 5: Solve for x
    x = 21,434,167,817.02/97,854.75
  6. Step 6: Final answer
    x = 219,040.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.