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Finding the Third Proportional to 45,830 and 100,516

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Solution

The third proportional to 45,830 and 100,516 is: 220,455.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,830 : 100,516 = 100,516 : x
  2. Step 2: Convert to fraction form
    45,830/100,516 = 100,516/x
  3. Step 3: Cross multiply
    45,830x = 100,516 × 100,516
  4. Step 4: Simplify right side
    45,830x = 10,103,466,256
  5. Step 5: Solve for x
    x = 10,103,466,256/45,830
  6. Step 6: Final answer
    x = 220,455.30

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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.