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Finding the Third Proportional to 95,818.13 and 201,566.63

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Solution

The third proportional to 95,818.13 and 201,566.63 is: 424,023.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,818.13 : 201,566.63 = 201,566.63 : x
  2. Step 2: Convert to fraction form
    95,818.13/201,566.63 = 201,566.63/x
  3. Step 3: Cross multiply
    95,818.13x = 201,566.63 × 201,566.63
  4. Step 4: Simplify right side
    95,818.13x = 40,629,104,313.89
  5. Step 5: Solve for x
    x = 40,629,104,313.89/95,818.13
  6. Step 6: Final answer
    x = 424,023.16

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.