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Finding the Third Proportional to 46,469 and 97,555

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Solution

The third proportional to 46,469 and 97,555 is: 204,802.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,469 : 97,555 = 97,555 : x
  2. Step 2: Convert to fraction form
    46,469/97,555 = 97,555/x
  3. Step 3: Cross multiply
    46,469x = 97,555 × 97,555
  4. Step 4: Simplify right side
    46,469x = 9,516,978,025
  5. Step 5: Solve for x
    x = 9,516,978,025/46,469
  6. Step 6: Final answer
    x = 204,802.73

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.