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Finding the Third Proportional to 210,950,212.50 and 462,743,883

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Solution

The third proportional to 210,950,212.50 and 462,743,883 is: 1,015,082,652.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,950,212.50 : 462,743,883 = 462,743,883 : x
  2. Step 2: Convert to fraction form
    210,950,212.50/462,743,883 = 462,743,883/x
  3. Step 3: Cross multiply
    210,950,212.50x = 462,743,883 × 462,743,883
  4. Step 4: Simplify right side
    210,950,212.50x = 214,131,901,253,917,696
  5. Step 5: Solve for x
    x = 214,131,901,253,917,696/210,950,212.50
  6. Step 6: Final answer
    x = 1,015,082,652.52

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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.