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Finding the Third Proportional to 46,234 and 98,791

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Solution

The third proportional to 46,234 and 98,791 is: 211,092.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,234 : 98,791 = 98,791 : x
  2. Step 2: Convert to fraction form
    46,234/98,791 = 98,791/x
  3. Step 3: Cross multiply
    46,234x = 98,791 × 98,791
  4. Step 4: Simplify right side
    46,234x = 9,759,661,681
  5. Step 5: Solve for x
    x = 9,759,661,681/46,234
  6. Step 6: Final answer
    x = 211,092.74

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.