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Finding the Third Proportional to 47,716 and 95,426

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Solution

The third proportional to 47,716 and 95,426 is: 190,840.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,716 : 95,426 = 95,426 : x
  2. Step 2: Convert to fraction form
    47,716/95,426 = 95,426/x
  3. Step 3: Cross multiply
    47,716x = 95,426 × 95,426
  4. Step 4: Simplify right side
    47,716x = 9,106,121,476
  5. Step 5: Solve for x
    x = 9,106,121,476/47,716
  6. Step 6: Final answer
    x = 190,840.00

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Why These Related Problems?

These problems maintain the same ratio (2.00) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.