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Finding the Third Proportional to 47,913 and 102,393.75

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Solution

The third proportional to 47,913 and 102,393.75 is: 218,823.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,913 : 102,393.75 = 102,393.75 : x
  2. Step 2: Convert to fraction form
    47,913/102,393.75 = 102,393.75/x
  3. Step 3: Cross multiply
    47,913x = 102,393.75 × 102,393.75
  4. Step 4: Simplify right side
    47,913x = 10,484,480,039.06
  5. Step 5: Solve for x
    x = 10,484,480,039.06/47,913
  6. Step 6: Final answer
    x = 218,823.28

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.