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Finding the Third Proportional to 102,659,892 and 228,272,268

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Solution

The third proportional to 102,659,892 and 228,272,268 is: 507,581,172.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,659,892 : 228,272,268 = 228,272,268 : x
  2. Step 2: Convert to fraction form
    102,659,892/228,272,268 = 228,272,268/x
  3. Step 3: Cross multiply
    102,659,892x = 228,272,268 × 228,272,268
  4. Step 4: Simplify right side
    102,659,892x = 52,108,228,337,863,824
  5. Step 5: Solve for x
    x = 52,108,228,337,863,824/102,659,892
  6. Step 6: Final answer
    x = 507,581,172.38

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.