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Finding the Third Proportional to 169,825,962 and 370,395,220

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Solution

The third proportional to 169,825,962 and 370,395,220 is: 807,842,436.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,825,962 : 370,395,220 = 370,395,220 : x
  2. Step 2: Convert to fraction form
    169,825,962/370,395,220 = 370,395,220/x
  3. Step 3: Cross multiply
    169,825,962x = 370,395,220 × 370,395,220
  4. Step 4: Simplify right side
    169,825,962x = 137,192,618,998,848,400
  5. Step 5: Solve for x
    x = 137,192,618,998,848,400/169,825,962
  6. Step 6: Final answer
    x = 807,842,436.95

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.