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Finding the Third Proportional to 101,097 and 216,394

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Solution

The third proportional to 101,097 and 216,394 is: 463,182.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,097 : 216,394 = 216,394 : x
  2. Step 2: Convert to fraction form
    101,097/216,394 = 216,394/x
  3. Step 3: Cross multiply
    101,097x = 216,394 × 216,394
  4. Step 4: Simplify right side
    101,097x = 46,826,363,236
  5. Step 5: Solve for x
    x = 46,826,363,236/101,097
  6. Step 6: Final answer
    x = 463,182.52

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.