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Finding the Third Proportional to 95,701,948 and 209,932,002

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Solution

The third proportional to 95,701,948 and 209,932,002 is: 460,507,297.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,701,948 : 209,932,002 = 209,932,002 : x
  2. Step 2: Convert to fraction form
    95,701,948/209,932,002 = 209,932,002/x
  3. Step 3: Cross multiply
    95,701,948x = 209,932,002 × 209,932,002
  4. Step 4: Simplify right side
    95,701,948x = 44,071,445,463,728,000
  5. Step 5: Solve for x
    x = 44,071,445,463,728,000/95,701,948
  6. Step 6: Final answer
    x = 460,507,297.76

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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.