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Finding the Third Proportional to 101,751 and 221,017.50

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Solution

The third proportional to 101,751 and 221,017.50 is: 480,081.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,751 : 221,017.50 = 221,017.50 : x
  2. Step 2: Convert to fraction form
    101,751/221,017.50 = 221,017.50/x
  3. Step 3: Cross multiply
    101,751x = 221,017.50 × 221,017.50
  4. Step 4: Simplify right side
    101,751x = 48,848,735,306.25
  5. Step 5: Solve for x
    x = 48,848,735,306.25/101,751
  6. Step 6: Final answer
    x = 480,081.13

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.