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Finding the Third Proportional to 173,151,462 and 380,932,611

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Solution

The third proportional to 173,151,462 and 380,932,611 is: 838,050,412.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,151,462 : 380,932,611 = 380,932,611 : x
  2. Step 2: Convert to fraction form
    173,151,462/380,932,611 = 380,932,611/x
  3. Step 3: Cross multiply
    173,151,462x = 380,932,611 × 380,932,611
  4. Step 4: Simplify right side
    173,151,462x = 145,109,654,123,277,312
  5. Step 5: Solve for x
    x = 145,109,654,123,277,312/173,151,462
  6. Step 6: Final answer
    x = 838,050,412.32

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.