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Finding the Third Proportional to 99,713.11 and 148,003.88

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Solution

The third proportional to 99,713.11 and 148,003.88 is: 219,681.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,713.11 : 148,003.88 = 148,003.88 : x
  2. Step 2: Convert to fraction form
    99,713.11/148,003.88 = 148,003.88/x
  3. Step 3: Cross multiply
    99,713.11x = 148,003.88 × 148,003.88
  4. Step 4: Simplify right side
    99,713.11x = 21,905,147,015.02
  5. Step 5: Solve for x
    x = 21,905,147,015.02/99,713.11
  6. Step 6: Final answer
    x = 219,681.72

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.