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Finding the Third Proportional to 100,883,219,835 and 222,329,652,822

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Solution

The third proportional to 100,883,219,835 and 222,329,652,822 is: 489,977,169,689.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,883,219,835 : 222,329,652,822 = 222,329,652,822 : x
  2. Step 2: Convert to fraction form
    100,883,219,835/222,329,652,822 = 222,329,652,822/x
  3. Step 3: Cross multiply
    100,883,219,835x = 222,329,652,822 × 222,329,652,822
  4. Step 4: Simplify right side
    100,883,219,835x = 49,430,474,523,951,052,619,776
  5. Step 5: Solve for x
    x = 49,430,474,523,951,052,619,776/100,883,219,835
  6. Step 6: Final answer
    x = 489,977,169,689.84

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.