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Finding the Third Proportional to 89,822.06 and 140,904.09

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Solution

The third proportional to 89,822.06 and 140,904.09 is: 221,036.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,822.06 : 140,904.09 = 140,904.09 : x
  2. Step 2: Convert to fraction form
    89,822.06/140,904.09 = 140,904.09/x
  3. Step 3: Cross multiply
    89,822.06x = 140,904.09 × 140,904.09
  4. Step 4: Simplify right side
    89,822.06x = 19,853,963,635.51
  5. Step 5: Solve for x
    x = 19,853,963,635.51/89,822.06
  6. Step 6: Final answer
    x = 221,036.60

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.