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Finding the Third Proportional to 97,466 and 146,919

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Solution

The third proportional to 97,466 and 146,919 is: 221,463.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,466 : 146,919 = 146,919 : x
  2. Step 2: Convert to fraction form
    97,466/146,919 = 146,919/x
  3. Step 3: Cross multiply
    97,466x = 146,919 × 146,919
  4. Step 4: Simplify right side
    97,466x = 21,585,192,561
  5. Step 5: Solve for x
    x = 21,585,192,561/97,466
  6. Step 6: Final answer
    x = 221,463.82

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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.