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Finding the Third Proportional to 46,764 and 101,456

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Solution

The third proportional to 46,764 and 101,456 is: 220,112.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,764 : 101,456 = 101,456 : x
  2. Step 2: Convert to fraction form
    46,764/101,456 = 101,456/x
  3. Step 3: Cross multiply
    46,764x = 101,456 × 101,456
  4. Step 4: Simplify right side
    46,764x = 10,293,319,936
  5. Step 5: Solve for x
    x = 10,293,319,936/46,764
  6. Step 6: Final answer
    x = 220,112.05

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.