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Finding the Third Proportional to 104,142 and 215,668.50

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Solution

The third proportional to 104,142 and 215,668.50 is: 446,629.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,142 : 215,668.50 = 215,668.50 : x
  2. Step 2: Convert to fraction form
    104,142/215,668.50 = 215,668.50/x
  3. Step 3: Cross multiply
    104,142x = 215,668.50 × 215,668.50
  4. Step 4: Simplify right side
    104,142x = 46,512,901,892.25
  5. Step 5: Solve for x
    x = 46,512,901,892.25/104,142
  6. Step 6: Final answer
    x = 446,629.62

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.