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Finding the Third Proportional to 47,347.27 and 105,204.52

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Solution

The third proportional to 47,347.27 and 105,204.52 is: 233,762.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,347.27 : 105,204.52 = 105,204.52 : x
  2. Step 2: Convert to fraction form
    47,347.27/105,204.52 = 105,204.52/x
  3. Step 3: Cross multiply
    47,347.27x = 105,204.52 × 105,204.52
  4. Step 4: Simplify right side
    47,347.27x = 11,067,991,957.19
  5. Step 5: Solve for x
    x = 11,067,991,957.19/47,347.27
  6. Step 6: Final answer
    x = 233,762.00

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These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.