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Finding the Third Proportional to 227,191,603 and 497,629,214

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Solution

The third proportional to 227,191,603 and 497,629,214 is: 1,089,982,338.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,191,603 : 497,629,214 = 497,629,214 : x
  2. Step 2: Convert to fraction form
    227,191,603/497,629,214 = 497,629,214/x
  3. Step 3: Cross multiply
    227,191,603x = 497,629,214 × 497,629,214
  4. Step 4: Simplify right side
    227,191,603x = 247,634,834,626,257,792
  5. Step 5: Solve for x
    x = 247,634,834,626,257,792/227,191,603
  6. Step 6: Final answer
    x = 1,089,982,338.06

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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.