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Finding the Third Proportional to 196,440,997.50 and 308,157,540.75

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Solution

The third proportional to 196,440,997.50 and 308,157,540.75 is: 483,407,593.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,440,997.50 : 308,157,540.75 = 308,157,540.75 : x
  2. Step 2: Convert to fraction form
    196,440,997.50/308,157,540.75 = 308,157,540.75/x
  3. Step 3: Cross multiply
    196,440,997.50x = 308,157,540.75 × 308,157,540.75
  4. Step 4: Simplify right side
    196,440,997.50x = 94,961,069,921,087,904
  5. Step 5: Solve for x
    x = 94,961,069,921,087,904/196,440,997.50
  6. Step 6: Final answer
    x = 483,407,593.78

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.