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Finding the Third Proportional to 141,700,194 and 231,383,655

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Solution

The third proportional to 141,700,194 and 231,383,655 is: 377,828,669.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,700,194 : 231,383,655 = 231,383,655 : x
  2. Step 2: Convert to fraction form
    141,700,194/231,383,655 = 231,383,655/x
  3. Step 3: Cross multiply
    141,700,194x = 231,383,655 × 231,383,655
  4. Step 4: Simplify right side
    141,700,194x = 53,538,395,801,159,024
  5. Step 5: Solve for x
    x = 53,538,395,801,159,024/141,700,194
  6. Step 6: Final answer
    x = 377,828,669.74

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.