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Finding the Third Proportional to 46,782 and 99,406

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Solution

The third proportional to 46,782 and 99,406 is: 211,225.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,782 : 99,406 = 99,406 : x
  2. Step 2: Convert to fraction form
    46,782/99,406 = 99,406/x
  3. Step 3: Cross multiply
    46,782x = 99,406 × 99,406
  4. Step 4: Simplify right side
    46,782x = 9,881,552,836
  5. Step 5: Solve for x
    x = 9,881,552,836/46,782
  6. Step 6: Final answer
    x = 211,225.53

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.