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Finding the Third Proportional to 46,627 and 99,797

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Solution

The third proportional to 46,627 and 99,797 is: 213,598.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,627 : 99,797 = 99,797 : x
  2. Step 2: Convert to fraction form
    46,627/99,797 = 99,797/x
  3. Step 3: Cross multiply
    46,627x = 99,797 × 99,797
  4. Step 4: Simplify right side
    46,627x = 9,959,441,209
  5. Step 5: Solve for x
    x = 9,959,441,209/46,627
  6. Step 6: Final answer
    x = 213,598.16

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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.