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Finding the Third Proportional to 101,798.25 and 221,668.50

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Solution

The third proportional to 101,798.25 and 221,668.50 is: 482,689.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,798.25 : 221,668.50 = 221,668.50 : x
  2. Step 2: Convert to fraction form
    101,798.25/221,668.50 = 221,668.50/x
  3. Step 3: Cross multiply
    101,798.25x = 221,668.50 × 221,668.50
  4. Step 4: Simplify right side
    101,798.25x = 49,136,923,892.25
  5. Step 5: Solve for x
    x = 49,136,923,892.25/101,798.25
  6. Step 6: Final answer
    x = 482,689.28

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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.