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Finding the Third Proportional to 101,937 and 216,996

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Solution

The third proportional to 101,937 and 216,996 is: 461,925.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,937 : 216,996 = 216,996 : x
  2. Step 2: Convert to fraction form
    101,937/216,996 = 216,996/x
  3. Step 3: Cross multiply
    101,937x = 216,996 × 216,996
  4. Step 4: Simplify right side
    101,937x = 47,087,264,016
  5. Step 5: Solve for x
    x = 47,087,264,016/101,937
  6. Step 6: Final answer
    x = 461,925.15

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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.