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Finding the Third Proportional to 48,498 and 104,641.50

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Solution

The third proportional to 48,498 and 104,641.50 is: 225,779.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,498 : 104,641.50 = 104,641.50 : x
  2. Step 2: Convert to fraction form
    48,498/104,641.50 = 104,641.50/x
  3. Step 3: Cross multiply
    48,498x = 104,641.50 × 104,641.50
  4. Step 4: Simplify right side
    48,498x = 10,949,843,522.25
  5. Step 5: Solve for x
    x = 10,949,843,522.25/48,498
  6. Step 6: Final answer
    x = 225,779.28

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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.