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Finding the Third Proportional to 46,812 and 101,139

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Solution

The third proportional to 46,812 and 101,139 is: 218,514.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,812 : 101,139 = 101,139 : x
  2. Step 2: Convert to fraction form
    46,812/101,139 = 101,139/x
  3. Step 3: Cross multiply
    46,812x = 101,139 × 101,139
  4. Step 4: Simplify right side
    46,812x = 10,229,097,321
  5. Step 5: Solve for x
    x = 10,229,097,321/46,812
  6. Step 6: Final answer
    x = 218,514.43

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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.