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Finding the Third Proportional to 182,692,441,905 and 380,419,698,981

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Solution

The third proportional to 182,692,441,905 and 380,419,698,981 is: 792,146,329,994.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,692,441,905 : 380,419,698,981 = 380,419,698,981 : x
  2. Step 2: Convert to fraction form
    182,692,441,905/380,419,698,981 = 380,419,698,981/x
  3. Step 3: Cross multiply
    182,692,441,905x = 380,419,698,981 × 380,419,698,981
  4. Step 4: Simplify right side
    182,692,441,905x = 144,719,147,372,794,657,898,496
  5. Step 5: Solve for x
    x = 144,719,147,372,794,657,898,496/182,692,441,905
  6. Step 6: Final answer
    x = 792,146,329,994.59

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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.