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Finding the Third Proportional to 99,607 and 215,818

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Solution

The third proportional to 99,607 and 215,818 is: 467,611.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,607 : 215,818 = 215,818 : x
  2. Step 2: Convert to fraction form
    99,607/215,818 = 215,818/x
  3. Step 3: Cross multiply
    99,607x = 215,818 × 215,818
  4. Step 4: Simplify right side
    99,607x = 46,577,409,124
  5. Step 5: Solve for x
    x = 46,577,409,124/99,607
  6. Step 6: Final answer
    x = 467,611.81

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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.