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Finding the Third Proportional to 45,634.36 and 99,871.45

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Solution

The third proportional to 45,634.36 and 99,871.45 is: 218,570.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,634.36 : 99,871.45 = 99,871.45 : x
  2. Step 2: Convert to fraction form
    45,634.36/99,871.45 = 99,871.45/x
  3. Step 3: Cross multiply
    45,634.36x = 99,871.45 × 99,871.45
  4. Step 4: Simplify right side
    45,634.36x = 9,974,307,149.30
  5. Step 5: Solve for x
    x = 9,974,307,149.30/45,634.36
  6. Step 6: Final answer
    x = 218,570.11

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.