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Finding the Third Proportional to 104,768 and 215,584

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Solution

The third proportional to 104,768 and 215,584 is: 443,613.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,768 : 215,584 = 215,584 : x
  2. Step 2: Convert to fraction form
    104,768/215,584 = 215,584/x
  3. Step 3: Cross multiply
    104,768x = 215,584 × 215,584
  4. Step 4: Simplify right side
    104,768x = 46,476,461,056
  5. Step 5: Solve for x
    x = 46,476,461,056/104,768
  6. Step 6: Final answer
    x = 443,613.14

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.