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Finding the Third Proportional to 98,388.56 and 181,994.06

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Solution

The third proportional to 98,388.56 and 181,994.06 is: 336,643.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,388.56 : 181,994.06 = 181,994.06 : x
  2. Step 2: Convert to fraction form
    98,388.56/181,994.06 = 181,994.06/x
  3. Step 3: Cross multiply
    98,388.56x = 181,994.06 × 181,994.06
  4. Step 4: Simplify right side
    98,388.56x = 33,121,838,785.25
  5. Step 5: Solve for x
    x = 33,121,838,785.25/98,388.56
  6. Step 6: Final answer
    x = 336,643.18

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These problems maintain the same ratio (1.85) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.