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Finding the Third Proportional to 96,952,992 and 207,342,912

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Solution

The third proportional to 96,952,992 and 207,342,912 is: 443,421,933.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,952,992 : 207,342,912 = 207,342,912 : x
  2. Step 2: Convert to fraction form
    96,952,992/207,342,912 = 207,342,912/x
  3. Step 3: Cross multiply
    96,952,992x = 207,342,912 × 207,342,912
  4. Step 4: Simplify right side
    96,952,992x = 42,991,083,156,639,744
  5. Step 5: Solve for x
    x = 42,991,083,156,639,744/96,952,992
  6. Step 6: Final answer
    x = 443,421,933.35

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.