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Finding the Third Proportional to 47,326.50 and 102,030.75

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Solution

The third proportional to 47,326.50 and 102,030.75 is: 219,967.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,326.50 : 102,030.75 = 102,030.75 : x
  2. Step 2: Convert to fraction form
    47,326.50/102,030.75 = 102,030.75/x
  3. Step 3: Cross multiply
    47,326.50x = 102,030.75 × 102,030.75
  4. Step 4: Simplify right side
    47,326.50x = 10,410,273,945.56
  5. Step 5: Solve for x
    x = 10,410,273,945.56/47,326.50
  6. Step 6: Final answer
    x = 219,967.12

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.