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Finding the Third Proportional to 234,950,091 and 497,908,161

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Solution

The third proportional to 234,950,091 and 497,908,161 is: 1,055,171,060.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,950,091 : 497,908,161 = 497,908,161 : x
  2. Step 2: Convert to fraction form
    234,950,091/497,908,161 = 497,908,161/x
  3. Step 3: Cross multiply
    234,950,091x = 497,908,161 × 497,908,161
  4. Step 4: Simplify right side
    234,950,091x = 247,912,536,790,401,920
  5. Step 5: Solve for x
    x = 247,912,536,790,401,920/234,950,091
  6. Step 6: Final answer
    x = 1,055,171,060.95

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.