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Finding the Third Proportional to 97,966.69 and 146,570.06

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Solution

The third proportional to 97,966.69 and 146,570.06 is: 219,286.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,966.69 : 146,570.06 = 146,570.06 : x
  2. Step 2: Convert to fraction form
    97,966.69/146,570.06 = 146,570.06/x
  3. Step 3: Cross multiply
    97,966.69x = 146,570.06 × 146,570.06
  4. Step 4: Simplify right side
    97,966.69x = 21,482,783,221.25
  5. Step 5: Solve for x
    x = 21,482,783,221.25/97,966.69
  6. Step 6: Final answer
    x = 219,286.61

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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.