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Finding the Third Proportional to 47,326.50 and 101,219.63

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Solution

The third proportional to 47,326.50 and 101,219.63 is: 216,483.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,326.50 : 101,219.63 = 101,219.63 : x
  2. Step 2: Convert to fraction form
    47,326.50/101,219.63 = 101,219.63/x
  3. Step 3: Cross multiply
    47,326.50x = 101,219.63 × 101,219.63
  4. Step 4: Simplify right side
    47,326.50x = 10,245,412,485.14
  5. Step 5: Solve for x
    x = 10,245,412,485.14/47,326.50
  6. Step 6: Final answer
    x = 216,483.63

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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.