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Finding the Third Proportional to 45,265.50 and 97,647.75

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Solution

The third proportional to 45,265.50 and 97,647.75 is: 210,647.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,265.50 : 97,647.75 = 97,647.75 : x
  2. Step 2: Convert to fraction form
    45,265.50/97,647.75 = 97,647.75/x
  3. Step 3: Cross multiply
    45,265.50x = 97,647.75 × 97,647.75
  4. Step 4: Simplify right side
    45,265.50x = 9,535,083,080.06
  5. Step 5: Solve for x
    x = 9,535,083,080.06/45,265.50
  6. Step 6: Final answer
    x = 210,647.91

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.