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Finding the Third Proportional to 221,270,782 and 319,670,546

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Solution

The third proportional to 221,270,782 and 319,670,546 is: 461,828,972.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,270,782 : 319,670,546 = 319,670,546 : x
  2. Step 2: Convert to fraction form
    221,270,782/319,670,546 = 319,670,546/x
  3. Step 3: Cross multiply
    221,270,782x = 319,670,546 × 319,670,546
  4. Step 4: Simplify right side
    221,270,782x = 102,189,257,979,938,112
  5. Step 5: Solve for x
    x = 102,189,257,979,938,112/221,270,782
  6. Step 6: Final answer
    x = 461,828,972.88

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.