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Finding the Third Proportional to 48,698 and 106,222

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Solution

The third proportional to 48,698 and 106,222 is: 231,695.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,698 : 106,222 = 106,222 : x
  2. Step 2: Convert to fraction form
    48,698/106,222 = 106,222/x
  3. Step 3: Cross multiply
    48,698x = 106,222 × 106,222
  4. Step 4: Simplify right side
    48,698x = 11,283,113,284
  5. Step 5: Solve for x
    x = 11,283,113,284/48,698
  6. Step 6: Final answer
    x = 231,695.62

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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.