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Finding the Third Proportional to 97,465.13 and 146,917.69

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Solution

The third proportional to 97,465.13 and 146,917.69 is: 221,461.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,465.13 : 146,917.69 = 146,917.69 : x
  2. Step 2: Convert to fraction form
    97,465.13/146,917.69 = 146,917.69/x
  3. Step 3: Cross multiply
    97,465.13x = 146,917.69 × 146,917.69
  4. Step 4: Simplify right side
    97,465.13x = 21,584,806,900.35
  5. Step 5: Solve for x
    x = 21,584,806,900.35/97,465.13
  6. Step 6: Final answer
    x = 221,461.85

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.