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Finding the Third Proportional to 46,438 and 101,282

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Solution

The third proportional to 46,438 and 101,282 is: 220,897.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,438 : 101,282 = 101,282 : x
  2. Step 2: Convert to fraction form
    46,438/101,282 = 101,282/x
  3. Step 3: Cross multiply
    46,438x = 101,282 × 101,282
  4. Step 4: Simplify right side
    46,438x = 10,258,043,524
  5. Step 5: Solve for x
    x = 10,258,043,524/46,438
  6. Step 6: Final answer
    x = 220,897.62

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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.