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Finding the Third Proportional to 46,456.88 and 101,787.75

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Solution

The third proportional to 46,456.88 and 101,787.75 is: 223,018.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,456.88 : 101,787.75 = 101,787.75 : x
  2. Step 2: Convert to fraction form
    46,456.88/101,787.75 = 101,787.75/x
  3. Step 3: Cross multiply
    46,456.88x = 101,787.75 × 101,787.75
  4. Step 4: Simplify right side
    46,456.88x = 10,360,746,050.06
  5. Step 5: Solve for x
    x = 10,360,746,050.06/46,456.88
  6. Step 6: Final answer
    x = 223,018.57

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.