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Finding the Third Proportional to 95,398,968 and 205,905,732

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Solution

The third proportional to 95,398,968 and 205,905,732 is: 444,419,592.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,398,968 : 205,905,732 = 205,905,732 : x
  2. Step 2: Convert to fraction form
    95,398,968/205,905,732 = 205,905,732/x
  3. Step 3: Cross multiply
    95,398,968x = 205,905,732 × 205,905,732
  4. Step 4: Simplify right side
    95,398,968x = 42,397,170,470,455,824
  5. Step 5: Solve for x
    x = 42,397,170,470,455,824/95,398,968
  6. Step 6: Final answer
    x = 444,419,592.36

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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.