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Finding the Third Proportional to 177,437,824 and 386,120,250.50

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Solution

The third proportional to 177,437,824 and 386,120,250.50 is: 840,231,493.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,437,824 : 386,120,250.50 = 386,120,250.50 : x
  2. Step 2: Convert to fraction form
    177,437,824/386,120,250.50 = 386,120,250.50/x
  3. Step 3: Cross multiply
    177,437,824x = 386,120,250.50 × 386,120,250.50
  4. Step 4: Simplify right side
    177,437,824x = 149,088,847,846,182,752
  5. Step 5: Solve for x
    x = 149,088,847,846,182,752/177,437,824
  6. Step 6: Final answer
    x = 840,231,493.41

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.