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Finding the Third Proportional to 98,296,950 and 212,950,470

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Solution

The third proportional to 98,296,950 and 212,950,470 is: 461,335,806.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,296,950 : 212,950,470 = 212,950,470 : x
  2. Step 2: Convert to fraction form
    98,296,950/212,950,470 = 212,950,470/x
  3. Step 3: Cross multiply
    98,296,950x = 212,950,470 × 212,950,470
  4. Step 4: Simplify right side
    98,296,950x = 45,347,902,673,220,896
  5. Step 5: Solve for x
    x = 45,347,902,673,220,896/98,296,950
  6. Step 6: Final answer
    x = 461,335,806.18

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.