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Finding the Third Proportional to 46,890 and 99,930

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Solution

The third proportional to 46,890 and 99,930 is: 212,966.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,890 : 99,930 = 99,930 : x
  2. Step 2: Convert to fraction form
    46,890/99,930 = 99,930/x
  3. Step 3: Cross multiply
    46,890x = 99,930 × 99,930
  4. Step 4: Simplify right side
    46,890x = 9,986,004,900
  5. Step 5: Solve for x
    x = 9,986,004,900/46,890
  6. Step 6: Final answer
    x = 212,966.62

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.