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Finding the Third Proportional to 205,584,401 and 448,841,679

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Solution

The third proportional to 205,584,401 and 448,841,679 is: 979,932,581.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,584,401 : 448,841,679 = 448,841,679 : x
  2. Step 2: Convert to fraction form
    205,584,401/448,841,679 = 448,841,679/x
  3. Step 3: Cross multiply
    205,584,401x = 448,841,679 × 448,841,679
  4. Step 4: Simplify right side
    205,584,401x = 201,458,852,807,539,040
  5. Step 5: Solve for x
    x = 201,458,852,807,539,040/205,584,401
  6. Step 6: Final answer
    x = 979,932,581.59

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.