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Finding the Third Proportional to 45,796.50 and 98,498.25

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Solution

The third proportional to 45,796.50 and 98,498.25 is: 211,848.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,796.50 : 98,498.25 = 98,498.25 : x
  2. Step 2: Convert to fraction form
    45,796.50/98,498.25 = 98,498.25/x
  3. Step 3: Cross multiply
    45,796.50x = 98,498.25 × 98,498.25
  4. Step 4: Simplify right side
    45,796.50x = 9,701,905,253.06
  5. Step 5: Solve for x
    x = 9,701,905,253.06/45,796.50
  6. Step 6: Final answer
    x = 211,848.18

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.