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Finding the Third Proportional to 177,877,650 and 385,446,336

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Solution

The third proportional to 177,877,650 and 385,446,336 is: 835,230,721.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,877,650 : 385,446,336 = 385,446,336 : x
  2. Step 2: Convert to fraction form
    177,877,650/385,446,336 = 385,446,336/x
  3. Step 3: Cross multiply
    177,877,650x = 385,446,336 × 385,446,336
  4. Step 4: Simplify right side
    177,877,650x = 148,568,877,935,824,896
  5. Step 5: Solve for x
    x = 148,568,877,935,824,896/177,877,650
  6. Step 6: Final answer
    x = 835,230,721.43

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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.