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Finding the Third Proportional to 102,513.25 and 221,874.50

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Solution

The third proportional to 102,513.25 and 221,874.50 is: 480,213.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,513.25 : 221,874.50 = 221,874.50 : x
  2. Step 2: Convert to fraction form
    102,513.25/221,874.50 = 221,874.50/x
  3. Step 3: Cross multiply
    102,513.25x = 221,874.50 × 221,874.50
  4. Step 4: Simplify right side
    102,513.25x = 49,228,293,750.25
  5. Step 5: Solve for x
    x = 49,228,293,750.25/102,513.25
  6. Step 6: Final answer
    x = 480,213.96

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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.