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Finding the Third Proportional to 82,100,208 and 177,217,440

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Solution

The third proportional to 82,100,208 and 177,217,440 is: 382,532,782.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,100,208 : 177,217,440 = 177,217,440 : x
  2. Step 2: Convert to fraction form
    82,100,208/177,217,440 = 177,217,440/x
  3. Step 3: Cross multiply
    82,100,208x = 177,217,440 × 177,217,440
  4. Step 4: Simplify right side
    82,100,208x = 31,406,021,040,153,600
  5. Step 5: Solve for x
    x = 31,406,021,040,153,600/82,100,208
  6. Step 6: Final answer
    x = 382,532,782.87

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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.