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Finding the Third Proportional to 102,014 and 216,151

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Solution

The third proportional to 102,014 and 216,151 is: 457,988.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,014 : 216,151 = 216,151 : x
  2. Step 2: Convert to fraction form
    102,014/216,151 = 216,151/x
  3. Step 3: Cross multiply
    102,014x = 216,151 × 216,151
  4. Step 4: Simplify right side
    102,014x = 46,721,254,801
  5. Step 5: Solve for x
    x = 46,721,254,801/102,014
  6. Step 6: Final answer
    x = 457,988.66

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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.