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Finding the Third Proportional to 166,538,590 and 360,878,174

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Solution

The third proportional to 166,538,590 and 360,878,174 is: 781,999,273.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,538,590 : 360,878,174 = 360,878,174 : x
  2. Step 2: Convert to fraction form
    166,538,590/360,878,174 = 360,878,174/x
  3. Step 3: Cross multiply
    166,538,590x = 360,878,174 × 360,878,174
  4. Step 4: Simplify right side
    166,538,590x = 130,233,056,469,574,272
  5. Step 5: Solve for x
    x = 130,233,056,469,574,272/166,538,590
  6. Step 6: Final answer
    x = 781,999,273.98

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.