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Finding the Third Proportional to 48,065.25 and 101,668.50

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Solution

The third proportional to 48,065.25 and 101,668.50 is: 215,051.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,065.25 : 101,668.50 = 101,668.50 : x
  2. Step 2: Convert to fraction form
    48,065.25/101,668.50 = 101,668.50/x
  3. Step 3: Cross multiply
    48,065.25x = 101,668.50 × 101,668.50
  4. Step 4: Simplify right side
    48,065.25x = 10,336,483,892.25
  5. Step 5: Solve for x
    x = 10,336,483,892.25/48,065.25
  6. Step 6: Final answer
    x = 215,051.08

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.