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Finding the Third Proportional to 46,932 and 102,984

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Solution

The third proportional to 46,932 and 102,984 is: 225,980.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,932 : 102,984 = 102,984 : x
  2. Step 2: Convert to fraction form
    46,932/102,984 = 102,984/x
  3. Step 3: Cross multiply
    46,932x = 102,984 × 102,984
  4. Step 4: Simplify right side
    46,932x = 10,605,704,256
  5. Step 5: Solve for x
    x = 10,605,704,256/46,932
  6. Step 6: Final answer
    x = 225,980.23

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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.