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Finding the Third Proportional to 96,822.84 and 149,551.31

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Solution

The third proportional to 96,822.84 and 149,551.31 is: 230,995.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,822.84 : 149,551.31 = 149,551.31 : x
  2. Step 2: Convert to fraction form
    96,822.84/149,551.31 = 149,551.31/x
  3. Step 3: Cross multiply
    96,822.84x = 149,551.31 × 149,551.31
  4. Step 4: Simplify right side
    96,822.84x = 22,365,595,070.47
  5. Step 5: Solve for x
    x = 22,365,595,070.47/96,822.84
  6. Step 6: Final answer
    x = 230,995.02

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.