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Finding the Third Proportional to 46,334 and 99,229

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Solution

The third proportional to 46,334 and 99,229 is: 212,509.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,334 : 99,229 = 99,229 : x
  2. Step 2: Convert to fraction form
    46,334/99,229 = 99,229/x
  3. Step 3: Cross multiply
    46,334x = 99,229 × 99,229
  4. Step 4: Simplify right side
    46,334x = 9,846,394,441
  5. Step 5: Solve for x
    x = 9,846,394,441/46,334
  6. Step 6: Final answer
    x = 212,509.05

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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.