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Finding the Third Proportional to 169,824,486 and 371,446,524

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Solution

The third proportional to 169,824,486 and 371,446,524 is: 812,441,853.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,824,486 : 371,446,524 = 371,446,524 : x
  2. Step 2: Convert to fraction form
    169,824,486/371,446,524 = 371,446,524/x
  3. Step 3: Cross multiply
    169,824,486x = 371,446,524 × 371,446,524
  4. Step 4: Simplify right side
    169,824,486x = 137,972,520,191,682,576
  5. Step 5: Solve for x
    x = 137,972,520,191,682,576/169,824,486
  6. Step 6: Final answer
    x = 812,441,853.60

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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.