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Finding the Third Proportional to 298,158,403 and 637,769,197

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Solution

The third proportional to 298,158,403 and 637,769,197 is: 1,364,206,222.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,158,403 : 637,769,197 = 637,769,197 : x
  2. Step 2: Convert to fraction form
    298,158,403/637,769,197 = 637,769,197/x
  3. Step 3: Cross multiply
    298,158,403x = 637,769,197 × 637,769,197
  4. Step 4: Simplify right side
    298,158,403x = 406,749,548,642,024,832
  5. Step 5: Solve for x
    x = 406,749,548,642,024,832/298,158,403
  6. Step 6: Final answer
    x = 1,364,206,222.43

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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.