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Finding the Third Proportional to 45,447.75 and 97,456.50

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Solution

The third proportional to 45,447.75 and 97,456.50 is: 208,982.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,447.75 : 97,456.50 = 97,456.50 : x
  2. Step 2: Convert to fraction form
    45,447.75/97,456.50 = 97,456.50/x
  3. Step 3: Cross multiply
    45,447.75x = 97,456.50 × 97,456.50
  4. Step 4: Simplify right side
    45,447.75x = 9,497,769,392.25
  5. Step 5: Solve for x
    x = 9,497,769,392.25/45,447.75
  6. Step 6: Final answer
    x = 208,982.17

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.