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Finding the Third Proportional to 103,627.50 and 216,639

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Solution

The third proportional to 103,627.50 and 216,639 is: 452,895.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,627.50 : 216,639 = 216,639 : x
  2. Step 2: Convert to fraction form
    103,627.50/216,639 = 216,639/x
  3. Step 3: Cross multiply
    103,627.50x = 216,639 × 216,639
  4. Step 4: Simplify right side
    103,627.50x = 46,932,456,321
  5. Step 5: Solve for x
    x = 46,932,456,321/103,627.50
  6. Step 6: Final answer
    x = 452,895.77

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.