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Finding the Third Proportional to 46,812 and 98,880

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Solution

The third proportional to 46,812 and 98,880 is: 208,862.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,812 : 98,880 = 98,880 : x
  2. Step 2: Convert to fraction form
    46,812/98,880 = 98,880/x
  3. Step 3: Cross multiply
    46,812x = 98,880 × 98,880
  4. Step 4: Simplify right side
    46,812x = 9,777,254,400
  5. Step 5: Solve for x
    x = 9,777,254,400/46,812
  6. Step 6: Final answer
    x = 208,862.14

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.