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Finding the Third Proportional to 169,825,920 and 370,395,144

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Solution

The third proportional to 169,825,920 and 370,395,144 is: 807,842,305.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,825,920 : 370,395,144 = 370,395,144 : x
  2. Step 2: Convert to fraction form
    169,825,920/370,395,144 = 370,395,144/x
  3. Step 3: Cross multiply
    169,825,920x = 370,395,144 × 370,395,144
  4. Step 4: Simplify right side
    169,825,920x = 137,192,562,698,780,736
  5. Step 5: Solve for x
    x = 137,192,562,698,780,736/169,825,920
  6. Step 6: Final answer
    x = 807,842,305.22

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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.