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Finding the Third Proportional to 102,967.88 and 221,736.45

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Solution

The third proportional to 102,967.88 and 221,736.45 is: 477,498.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,967.88 : 221,736.45 = 221,736.45 : x
  2. Step 2: Convert to fraction form
    102,967.88/221,736.45 = 221,736.45/x
  3. Step 3: Cross multiply
    102,967.88x = 221,736.45 × 221,736.45
  4. Step 4: Simplify right side
    102,967.88x = 49,167,051,179.82
  5. Step 5: Solve for x
    x = 49,167,051,179.82/102,967.88
  6. Step 6: Final answer
    x = 477,498.94

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.