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Finding the Third Proportional to 100,970 and 218,655

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Solution

The third proportional to 100,970 and 218,655 is: 473,507.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,970 : 218,655 = 218,655 : x
  2. Step 2: Convert to fraction form
    100,970/218,655 = 218,655/x
  3. Step 3: Cross multiply
    100,970x = 218,655 × 218,655
  4. Step 4: Simplify right side
    100,970x = 47,810,009,025
  5. Step 5: Solve for x
    x = 47,810,009,025/100,970
  6. Step 6: Final answer
    x = 473,507.07

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.