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Finding the Third Proportional to 47,213 and 103,498

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Solution

The third proportional to 47,213 and 103,498 is: 226,883.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,213 : 103,498 = 103,498 : x
  2. Step 2: Convert to fraction form
    47,213/103,498 = 103,498/x
  3. Step 3: Cross multiply
    47,213x = 103,498 × 103,498
  4. Step 4: Simplify right side
    47,213x = 10,711,836,004
  5. Step 5: Solve for x
    x = 10,711,836,004/47,213
  6. Step 6: Final answer
    x = 226,883.19

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.