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Finding the Third Proportional to 46,780 and 99,999

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Solution

The third proportional to 46,780 and 99,999 is: 213,762.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,780 : 99,999 = 99,999 : x
  2. Step 2: Convert to fraction form
    46,780/99,999 = 99,999/x
  3. Step 3: Cross multiply
    46,780x = 99,999 × 99,999
  4. Step 4: Simplify right side
    46,780x = 9,999,800,001
  5. Step 5: Solve for x
    x = 9,999,800,001/46,780
  6. Step 6: Final answer
    x = 213,762.29

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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.