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Finding the Third Proportional to 99,974 and 217,444

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Solution

The third proportional to 99,974 and 217,444 is: 472,941.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,974 : 217,444 = 217,444 : x
  2. Step 2: Convert to fraction form
    99,974/217,444 = 217,444/x
  3. Step 3: Cross multiply
    99,974x = 217,444 × 217,444
  4. Step 4: Simplify right side
    99,974x = 47,281,893,136
  5. Step 5: Solve for x
    x = 47,281,893,136/99,974
  6. Step 6: Final answer
    x = 472,941.90

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.