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Finding the Third Proportional to 166,577,984,624 and 253,770,037,105

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Solution

The third proportional to 166,577,984,624 and 253,770,037,105 is: 386,601,097,843.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,577,984,624 : 253,770,037,105 = 253,770,037,105 : x
  2. Step 2: Convert to fraction form
    166,577,984,624/253,770,037,105 = 253,770,037,105/x
  3. Step 3: Cross multiply
    166,577,984,624x = 253,770,037,105 × 253,770,037,105
  4. Step 4: Simplify right side
    166,577,984,624x = 64,399,231,732,273,075,191,808
  5. Step 5: Solve for x
    x = 64,399,231,732,273,075,191,808/166,577,984,624
  6. Step 6: Final answer
    x = 386,601,097,843.96

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.