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Finding the Third Proportional to 47,605.22 and 103,411.69

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Solution

The third proportional to 47,605.22 and 103,411.69 is: 224,638.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,605.22 : 103,411.69 = 103,411.69 : x
  2. Step 2: Convert to fraction form
    47,605.22/103,411.69 = 103,411.69/x
  3. Step 3: Cross multiply
    47,605.22x = 103,411.69 × 103,411.69
  4. Step 4: Simplify right side
    47,605.22x = 10,693,977,111.60
  5. Step 5: Solve for x
    x = 10,693,977,111.60/47,605.22
  6. Step 6: Final answer
    x = 224,638.76

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.