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Finding the Third Proportional to 76,725,173 and 164,366,991

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Solution

The third proportional to 76,725,173 and 164,366,991 is: 352,120,518.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,725,173 : 164,366,991 = 164,366,991 : x
  2. Step 2: Convert to fraction form
    76,725,173/164,366,991 = 164,366,991/x
  3. Step 3: Cross multiply
    76,725,173x = 164,366,991 × 164,366,991
  4. Step 4: Simplify right side
    76,725,173x = 27,016,507,730,394,080
  5. Step 5: Solve for x
    x = 27,016,507,730,394,080/76,725,173
  6. Step 6: Final answer
    x = 352,120,518.91

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Why These Related Problems?

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