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Finding the Third Proportional to 199,634,276,798 and 443,903,928,884

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Solution

The third proportional to 199,634,276,798 and 443,903,928,884 is: 987,058,441,261.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,634,276,798 : 443,903,928,884 = 443,903,928,884 : x
  2. Step 2: Convert to fraction form
    199,634,276,798/443,903,928,884 = 443,903,928,884/x
  3. Step 3: Cross multiply
    199,634,276,798x = 443,903,928,884 × 443,903,928,884
  4. Step 4: Simplify right side
    199,634,276,798x = 197,050,698,078,651,322,204,160
  5. Step 5: Solve for x
    x = 197,050,698,078,651,322,204,160/199,634,276,798
  6. Step 6: Final answer
    x = 987,058,441,261.75

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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.