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Finding the Third Proportional to 46,346 and 101,908

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Solution

The third proportional to 46,346 and 101,908 is: 224,080.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,346 : 101,908 = 101,908 : x
  2. Step 2: Convert to fraction form
    46,346/101,908 = 101,908/x
  3. Step 3: Cross multiply
    46,346x = 101,908 × 101,908
  4. Step 4: Simplify right side
    46,346x = 10,385,240,464
  5. Step 5: Solve for x
    x = 10,385,240,464/46,346
  6. Step 6: Final answer
    x = 224,080.62

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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.