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Finding the Third Proportional to 76,725,168 and 164,366,976

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Solution

The third proportional to 76,725,168 and 164,366,976 is: 352,120,477.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,725,168 : 164,366,976 = 164,366,976 : x
  2. Step 2: Convert to fraction form
    76,725,168/164,366,976 = 164,366,976/x
  3. Step 3: Cross multiply
    76,725,168x = 164,366,976 × 164,366,976
  4. Step 4: Simplify right side
    76,725,168x = 27,016,502,799,384,576
  5. Step 5: Solve for x
    x = 27,016,502,799,384,576/76,725,168
  6. Step 6: Final answer
    x = 352,120,477.59

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.