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Finding the Third Proportional to 77,161,536 and 166,438,350

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Solution

The third proportional to 77,161,536 and 166,438,350 is: 359,009,498.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,161,536 : 166,438,350 = 166,438,350 : x
  2. Step 2: Convert to fraction form
    77,161,536/166,438,350 = 166,438,350/x
  3. Step 3: Cross multiply
    77,161,536x = 166,438,350 × 166,438,350
  4. Step 4: Simplify right side
    77,161,536x = 27,701,724,350,722,500
  5. Step 5: Solve for x
    x = 27,701,724,350,722,500/77,161,536
  6. Step 6: Final answer
    x = 359,009,498.60

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.