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Finding the Third Proportional to 46,916 and 103,432

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Solution

The third proportional to 46,916 and 103,432 is: 228,028.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,916 : 103,432 = 103,432 : x
  2. Step 2: Convert to fraction form
    46,916/103,432 = 103,432/x
  3. Step 3: Cross multiply
    46,916x = 103,432 × 103,432
  4. Step 4: Simplify right side
    46,916x = 10,698,178,624
  5. Step 5: Solve for x
    x = 10,698,178,624/46,916
  6. Step 6: Final answer
    x = 228,028.36

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.