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Finding the Third Proportional to 254,365,625 and 550,988,605

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Solution

The third proportional to 254,365,625 and 550,988,605 is: 1,193,512,066.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,365,625 : 550,988,605 = 550,988,605 : x
  2. Step 2: Convert to fraction form
    254,365,625/550,988,605 = 550,988,605/x
  3. Step 3: Cross multiply
    254,365,625x = 550,988,605 × 550,988,605
  4. Step 4: Simplify right side
    254,365,625x = 303,588,442,839,846,016
  5. Step 5: Solve for x
    x = 303,588,442,839,846,016/254,365,625
  6. Step 6: Final answer
    x = 1,193,512,066.89

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.