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Finding the Third Proportional to 102,201 and 219,942

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Solution

The third proportional to 102,201 and 219,942 is: 473,326.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,201 : 219,942 = 219,942 : x
  2. Step 2: Convert to fraction form
    102,201/219,942 = 219,942/x
  3. Step 3: Cross multiply
    102,201x = 219,942 × 219,942
  4. Step 4: Simplify right side
    102,201x = 48,374,483,364
  5. Step 5: Solve for x
    x = 48,374,483,364/102,201
  6. Step 6: Final answer
    x = 473,326.91

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.