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Finding the Third Proportional to 102,032.95 and 216,227.88

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Solution

The third proportional to 102,032.95 and 216,227.88 is: 458,229.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,032.95 : 216,227.88 = 216,227.88 : x
  2. Step 2: Convert to fraction form
    102,032.95/216,227.88 = 216,227.88/x
  3. Step 3: Cross multiply
    102,032.95x = 216,227.88 × 216,227.88
  4. Step 4: Simplify right side
    102,032.95x = 46,754,495,405.13
  5. Step 5: Solve for x
    x = 46,754,495,405.13/102,032.95
  6. Step 6: Final answer
    x = 458,229.39

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.