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Finding the Third Proportional to 103,852.13 and 223,916.91

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Solution

The third proportional to 103,852.13 and 223,916.91 is: 482,790.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,852.13 : 223,916.91 = 223,916.91 : x
  2. Step 2: Convert to fraction form
    103,852.13/223,916.91 = 223,916.91/x
  3. Step 3: Cross multiply
    103,852.13x = 223,916.91 × 223,916.91
  4. Step 4: Simplify right side
    103,852.13x = 50,138,780,904.57
  5. Step 5: Solve for x
    x = 50,138,780,904.57/103,852.13
  6. Step 6: Final answer
    x = 482,790.13

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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.