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Finding the Third Proportional to 46,111.50 and 101,484

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Solution

The third proportional to 46,111.50 and 101,484 is: 223,349.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,111.50 : 101,484 = 101,484 : x
  2. Step 2: Convert to fraction form
    46,111.50/101,484 = 101,484/x
  3. Step 3: Cross multiply
    46,111.50x = 101,484 × 101,484
  4. Step 4: Simplify right side
    46,111.50x = 10,299,002,256
  5. Step 5: Solve for x
    x = 10,299,002,256/46,111.50
  6. Step 6: Final answer
    x = 223,349.97

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.