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Finding the Third Proportional to 169,825,862.25 and 370,395,036

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Solution

The third proportional to 169,825,862.25 and 370,395,036 is: 807,842,108.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,825,862.25 : 370,395,036 = 370,395,036 : x
  2. Step 2: Convert to fraction form
    169,825,862.25/370,395,036 = 370,395,036/x
  3. Step 3: Cross multiply
    169,825,862.25x = 370,395,036 × 370,395,036
  4. Step 4: Simplify right side
    169,825,862.25x = 137,192,482,693,441,296
  5. Step 5: Solve for x
    x = 137,192,482,693,441,296/169,825,862.25
  6. Step 6: Final answer
    x = 807,842,108.83

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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.