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Finding the Third Proportional to 48,685 and 103,647.50

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Solution

The third proportional to 48,685 and 103,647.50 is: 220,659.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,685 : 103,647.50 = 103,647.50 : x
  2. Step 2: Convert to fraction form
    48,685/103,647.50 = 103,647.50/x
  3. Step 3: Cross multiply
    48,685x = 103,647.50 × 103,647.50
  4. Step 4: Simplify right side
    48,685x = 10,742,804,256.25
  5. Step 5: Solve for x
    x = 10,742,804,256.25/48,685
  6. Step 6: Final answer
    x = 220,659.43

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.