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Finding the Third Proportional to 46,680 and 102,431

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Solution

The third proportional to 46,680 and 102,431 is: 224,766.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,680 : 102,431 = 102,431 : x
  2. Step 2: Convert to fraction form
    46,680/102,431 = 102,431/x
  3. Step 3: Cross multiply
    46,680x = 102,431 × 102,431
  4. Step 4: Simplify right side
    46,680x = 10,492,109,761
  5. Step 5: Solve for x
    x = 10,492,109,761/46,680
  6. Step 6: Final answer
    x = 224,766.70

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.