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Finding the Third Proportional to 46,640 and 99,928

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Solution

The third proportional to 46,640 and 99,928 is: 214,099.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,640 : 99,928 = 99,928 : x
  2. Step 2: Convert to fraction form
    46,640/99,928 = 99,928/x
  3. Step 3: Cross multiply
    46,640x = 99,928 × 99,928
  4. Step 4: Simplify right side
    46,640x = 9,985,605,184
  5. Step 5: Solve for x
    x = 9,985,605,184/46,640
  6. Step 6: Final answer
    x = 214,099.60

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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.