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Finding the Third Proportional to 199,634,276,790 and 443,903,928,867

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Solution

The third proportional to 199,634,276,790 and 443,903,928,867 is: 987,058,441,225.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,634,276,790 : 443,903,928,867 = 443,903,928,867 : x
  2. Step 2: Convert to fraction form
    199,634,276,790/443,903,928,867 = 443,903,928,867/x
  3. Step 3: Cross multiply
    199,634,276,790x = 443,903,928,867 × 443,903,928,867
  4. Step 4: Simplify right side
    199,634,276,790x = 197,050,698,063,558,605,799,424
  5. Step 5: Solve for x
    x = 197,050,698,063,558,605,799,424/199,634,276,790
  6. Step 6: Final answer
    x = 987,058,441,225.71

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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.