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Finding the Third Proportional to 46,468 and 98,930

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Solution

The third proportional to 46,468 and 98,930 is: 210,621.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,468 : 98,930 = 98,930 : x
  2. Step 2: Convert to fraction form
    46,468/98,930 = 98,930/x
  3. Step 3: Cross multiply
    46,468x = 98,930 × 98,930
  4. Step 4: Simplify right side
    46,468x = 9,787,144,900
  5. Step 5: Solve for x
    x = 9,787,144,900/46,468
  6. Step 6: Final answer
    x = 210,621.18

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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.