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Finding the Third Proportional to 95,398,965 and 205,905,726

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Solution

The third proportional to 95,398,965 and 205,905,726 is: 444,419,580.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,398,965 : 205,905,726 = 205,905,726 : x
  2. Step 2: Convert to fraction form
    95,398,965/205,905,726 = 205,905,726/x
  3. Step 3: Cross multiply
    95,398,965x = 205,905,726 × 205,905,726
  4. Step 4: Simplify right side
    95,398,965x = 42,397,167,999,587,072
  5. Step 5: Solve for x
    x = 42,397,167,999,587,072/95,398,965
  6. Step 6: Final answer
    x = 444,419,580.44

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.