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Finding the Third Proportional to 100,760.63 and 219,942

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Solution

The third proportional to 100,760.63 and 219,942 is: 480,093.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,760.63 : 219,942 = 219,942 : x
  2. Step 2: Convert to fraction form
    100,760.63/219,942 = 219,942/x
  3. Step 3: Cross multiply
    100,760.63x = 219,942 × 219,942
  4. Step 4: Simplify right side
    100,760.63x = 48,374,483,364
  5. Step 5: Solve for x
    x = 48,374,483,364/100,760.63
  6. Step 6: Final answer
    x = 480,093.13

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.