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Finding the Third Proportional to 101,432 and 216,434

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Solution

The third proportional to 101,432 and 216,434 is: 461,823.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,432 : 216,434 = 216,434 : x
  2. Step 2: Convert to fraction form
    101,432/216,434 = 216,434/x
  3. Step 3: Cross multiply
    101,432x = 216,434 × 216,434
  4. Step 4: Simplify right side
    101,432x = 46,843,676,356
  5. Step 5: Solve for x
    x = 46,843,676,356/101,432
  6. Step 6: Final answer
    x = 461,823.45

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.