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Finding the Third Proportional to 102,506.50 and 221,861

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Solution

The third proportional to 102,506.50 and 221,861 is: 480,187.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,506.50 : 221,861 = 221,861 : x
  2. Step 2: Convert to fraction form
    102,506.50/221,861 = 221,861/x
  3. Step 3: Cross multiply
    102,506.50x = 221,861 × 221,861
  4. Step 4: Simplify right side
    102,506.50x = 49,222,303,321
  5. Step 5: Solve for x
    x = 49,222,303,321/102,506.50
  6. Step 6: Final answer
    x = 480,187.14

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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.