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Finding the Third Proportional to 46,428 and 100,244

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Solution

The third proportional to 46,428 and 100,244 is: 216,439.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,428 : 100,244 = 100,244 : x
  2. Step 2: Convert to fraction form
    46,428/100,244 = 100,244/x
  3. Step 3: Cross multiply
    46,428x = 100,244 × 100,244
  4. Step 4: Simplify right side
    46,428x = 10,048,859,536
  5. Step 5: Solve for x
    x = 10,048,859,536/46,428
  6. Step 6: Final answer
    x = 216,439.64

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.