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Finding the Third Proportional to 191,776.78 and 403,771.92

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Solution

The third proportional to 191,776.78 and 403,771.92 is: 850,112.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,776.78 : 403,771.92 = 403,771.92 : x
  2. Step 2: Convert to fraction form
    191,776.78/403,771.92 = 403,771.92/x
  3. Step 3: Cross multiply
    191,776.78x = 403,771.92 × 403,771.92
  4. Step 4: Simplify right side
    191,776.78x = 163,031,764,894.63
  5. Step 5: Solve for x
    x = 163,031,764,894.63/191,776.78
  6. Step 6: Final answer
    x = 850,112.11

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.