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Finding the Third Proportional to 86,882.63 and 202,972.50

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Solution

The third proportional to 86,882.63 and 202,972.50 is: 474,178.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,882.63 : 202,972.50 = 202,972.50 : x
  2. Step 2: Convert to fraction form
    86,882.63/202,972.50 = 202,972.50/x
  3. Step 3: Cross multiply
    86,882.63x = 202,972.50 × 202,972.50
  4. Step 4: Simplify right side
    86,882.63x = 41,197,835,756.25
  5. Step 5: Solve for x
    x = 41,197,835,756.25/86,882.63
  6. Step 6: Final answer
    x = 474,178.07

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These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.