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Finding the Third Proportional to 46,276.31 and 101,110.78

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Solution

The third proportional to 46,276.31 and 101,110.78 is: 220,920.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,276.31 : 101,110.78 = 101,110.78 : x
  2. Step 2: Convert to fraction form
    46,276.31/101,110.78 = 101,110.78/x
  3. Step 3: Cross multiply
    46,276.31x = 101,110.78 × 101,110.78
  4. Step 4: Simplify right side
    46,276.31x = 10,223,390,084.99
  5. Step 5: Solve for x
    x = 10,223,390,084.99/46,276.31
  6. Step 6: Final answer
    x = 220,920.59

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.