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Finding the Third Proportional to 47,798.86 and 104,805.14

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Solution

The third proportional to 47,798.86 and 104,805.14 is: 229,798.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,798.86 : 104,805.14 = 104,805.14 : x
  2. Step 2: Convert to fraction form
    47,798.86/104,805.14 = 104,805.14/x
  3. Step 3: Cross multiply
    47,798.86x = 104,805.14 × 104,805.14
  4. Step 4: Simplify right side
    47,798.86x = 10,984,117,501.43
  5. Step 5: Solve for x
    x = 10,984,117,501.43/47,798.86
  6. Step 6: Final answer
    x = 229,798.74

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.