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Finding the Third Proportional to 171,008,666 and 380,176,756

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Solution

The third proportional to 171,008,666 and 380,176,756 is: 845,187,376.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,008,666 : 380,176,756 = 380,176,756 : x
  2. Step 2: Convert to fraction form
    171,008,666/380,176,756 = 380,176,756/x
  3. Step 3: Cross multiply
    171,008,666x = 380,176,756 × 380,176,756
  4. Step 4: Simplify right side
    171,008,666x = 144,534,365,802,683,520
  5. Step 5: Solve for x
    x = 144,534,365,802,683,520/171,008,666
  6. Step 6: Final answer
    x = 845,187,376.66

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.