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Finding the Third Proportional to 166,541,516 and 360,884,176

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Solution

The third proportional to 166,541,516 and 360,884,176 is: 782,011,546.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,541,516 : 360,884,176 = 360,884,176 : x
  2. Step 2: Convert to fraction form
    166,541,516/360,884,176 = 360,884,176/x
  3. Step 3: Cross multiply
    166,541,516x = 360,884,176 × 360,884,176
  4. Step 4: Simplify right side
    166,541,516x = 130,237,388,487,198,976
  5. Step 5: Solve for x
    x = 130,237,388,487,198,976/166,541,516
  6. Step 6: Final answer
    x = 782,011,546.52

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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.