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Finding the Third Proportional to 99,644.25 and 148,047

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Solution

The third proportional to 99,644.25 and 148,047 is: 219,961.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,644.25 : 148,047 = 148,047 : x
  2. Step 2: Convert to fraction form
    99,644.25/148,047 = 148,047/x
  3. Step 3: Cross multiply
    99,644.25x = 148,047 × 148,047
  4. Step 4: Simplify right side
    99,644.25x = 21,917,914,209
  5. Step 5: Solve for x
    x = 21,917,914,209/99,644.25
  6. Step 6: Final answer
    x = 219,961.66

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.