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Finding the Third Proportional to 207,825.75 and 448,081.88

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Solution

The third proportional to 207,825.75 and 448,081.88 is: 966,085.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,825.75 : 448,081.88 = 448,081.88 : x
  2. Step 2: Convert to fraction form
    207,825.75/448,081.88 = 448,081.88/x
  3. Step 3: Cross multiply
    207,825.75x = 448,081.88 × 448,081.88
  4. Step 4: Simplify right side
    207,825.75x = 200,777,366,703.52
  5. Step 5: Solve for x
    x = 200,777,366,703.52/207,825.75
  6. Step 6: Final answer
    x = 966,085.13

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.