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Finding the Third Proportional to 46,426 and 99,380

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Solution

The third proportional to 46,426 and 99,380 is: 212,733.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,426 : 99,380 = 99,380 : x
  2. Step 2: Convert to fraction form
    46,426/99,380 = 99,380/x
  3. Step 3: Cross multiply
    46,426x = 99,380 × 99,380
  4. Step 4: Simplify right side
    46,426x = 9,876,384,400
  5. Step 5: Solve for x
    x = 9,876,384,400/46,426
  6. Step 6: Final answer
    x = 212,733.91

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.