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Finding the Third Proportional to 182,692,441,908 and 380,419,698,987

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Solution

The third proportional to 182,692,441,908 and 380,419,698,987 is: 792,146,330,006.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,692,441,908 : 380,419,698,987 = 380,419,698,987 : x
  2. Step 2: Convert to fraction form
    182,692,441,908/380,419,698,987 = 380,419,698,987/x
  3. Step 3: Cross multiply
    182,692,441,908x = 380,419,698,987 × 380,419,698,987
  4. Step 4: Simplify right side
    182,692,441,908x = 144,719,147,377,359,688,040,448
  5. Step 5: Solve for x
    x = 144,719,147,377,359,688,040,448/182,692,441,908
  6. Step 6: Final answer
    x = 792,146,330,006.57

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.