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Finding the Third Proportional to 47,908.69 and 100,783.13

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Solution

The third proportional to 47,908.69 and 100,783.13 is: 212,012.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,908.69 : 100,783.13 = 100,783.13 : x
  2. Step 2: Convert to fraction form
    47,908.69/100,783.13 = 100,783.13/x
  3. Step 3: Cross multiply
    47,908.69x = 100,783.13 × 100,783.13
  4. Step 4: Simplify right side
    47,908.69x = 10,157,238,284.77
  5. Step 5: Solve for x
    x = 10,157,238,284.77/47,908.69
  6. Step 6: Final answer
    x = 212,012.45

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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.