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Finding the Third Proportional to 102,222 and 216,594

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Solution

The third proportional to 102,222 and 216,594 is: 458,932.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,222 : 216,594 = 216,594 : x
  2. Step 2: Convert to fraction form
    102,222/216,594 = 216,594/x
  3. Step 3: Cross multiply
    102,222x = 216,594 × 216,594
  4. Step 4: Simplify right side
    102,222x = 46,912,960,836
  5. Step 5: Solve for x
    x = 46,912,960,836/102,222
  6. Step 6: Final answer
    x = 458,932.14

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.