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Finding the Third Proportional to 83,821,826 and 183,226,420

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Solution

The third proportional to 83,821,826 and 183,226,420 is: 400,515,266.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,821,826 : 183,226,420 = 183,226,420 : x
  2. Step 2: Convert to fraction form
    83,821,826/183,226,420 = 183,226,420/x
  3. Step 3: Cross multiply
    83,821,826x = 183,226,420 × 183,226,420
  4. Step 4: Simplify right side
    83,821,826x = 33,571,920,986,016,400
  5. Step 5: Solve for x
    x = 33,571,920,986,016,400/83,821,826
  6. Step 6: Final answer
    x = 400,515,266.58

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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.