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Finding the Third Proportional to 73,854,177 and 170,959,201

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Solution

The third proportional to 73,854,177 and 170,959,201 is: 395,739,951.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,854,177 : 170,959,201 = 170,959,201 : x
  2. Step 2: Convert to fraction form
    73,854,177/170,959,201 = 170,959,201/x
  3. Step 3: Cross multiply
    73,854,177x = 170,959,201 × 170,959,201
  4. Step 4: Simplify right side
    73,854,177x = 29,227,048,406,558,400
  5. Step 5: Solve for x
    x = 29,227,048,406,558,400/73,854,177
  6. Step 6: Final answer
    x = 395,739,951.26

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.