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Finding the Third Proportional to 99,744.75 and 213,501.75

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Solution

The third proportional to 99,744.75 and 213,501.75 is: 456,996.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,744.75 : 213,501.75 = 213,501.75 : x
  2. Step 2: Convert to fraction form
    99,744.75/213,501.75 = 213,501.75/x
  3. Step 3: Cross multiply
    99,744.75x = 213,501.75 × 213,501.75
  4. Step 4: Simplify right side
    99,744.75x = 45,582,997,253.06
  5. Step 5: Solve for x
    x = 45,582,997,253.06/99,744.75
  6. Step 6: Final answer
    x = 456,996.46

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.