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Finding the Third Proportional to 47,701.50 and 94,201.50

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Solution

The third proportional to 47,701.50 and 94,201.50 is: 186,030.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,701.50 : 94,201.50 = 94,201.50 : x
  2. Step 2: Convert to fraction form
    47,701.50/94,201.50 = 94,201.50/x
  3. Step 3: Cross multiply
    47,701.50x = 94,201.50 × 94,201.50
  4. Step 4: Simplify right side
    47,701.50x = 8,873,922,602.25
  5. Step 5: Solve for x
    x = 8,873,922,602.25/47,701.50
  6. Step 6: Final answer
    x = 186,030.26

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.