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Finding the Third Proportional to 100,643.06 and 217,049.34

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Solution

The third proportional to 100,643.06 and 217,049.34 is: 468,094.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,643.06 : 217,049.34 = 217,049.34 : x
  2. Step 2: Convert to fraction form
    100,643.06/217,049.34 = 217,049.34/x
  3. Step 3: Cross multiply
    100,643.06x = 217,049.34 × 217,049.34
  4. Step 4: Simplify right side
    100,643.06x = 47,110,417,622.31
  5. Step 5: Solve for x
    x = 47,110,417,622.31/100,643.06
  6. Step 6: Final answer
    x = 468,094.04

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.