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Finding the Third Proportional to 47,368 and 101,301

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Solution

The third proportional to 47,368 and 101,301 is: 216,641.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,368 : 101,301 = 101,301 : x
  2. Step 2: Convert to fraction form
    47,368/101,301 = 101,301/x
  3. Step 3: Cross multiply
    47,368x = 101,301 × 101,301
  4. Step 4: Simplify right side
    47,368x = 10,261,892,601
  5. Step 5: Solve for x
    x = 10,261,892,601/47,368
  6. Step 6: Final answer
    x = 216,641.88

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.