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Finding the Third Proportional to 47,386 and 101,333

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Solution

The third proportional to 47,386 and 101,333 is: 216,696.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,386 : 101,333 = 101,333 : x
  2. Step 2: Convert to fraction form
    47,386/101,333 = 101,333/x
  3. Step 3: Cross multiply
    47,386x = 101,333 × 101,333
  4. Step 4: Simplify right side
    47,386x = 10,268,376,889
  5. Step 5: Solve for x
    x = 10,268,376,889/47,386
  6. Step 6: Final answer
    x = 216,696.43

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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.