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Finding the Third Proportional to 141,520,370 and 213,277,827

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Solution

The third proportional to 141,520,370 and 213,277,827 is: 321,419,676.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,520,370 : 213,277,827 = 213,277,827 : x
  2. Step 2: Convert to fraction form
    141,520,370/213,277,827 = 213,277,827/x
  3. Step 3: Cross multiply
    141,520,370x = 213,277,827 × 213,277,827
  4. Step 4: Simplify right side
    141,520,370x = 45,487,431,489,841,928
  5. Step 5: Solve for x
    x = 45,487,431,489,841,928/141,520,370
  6. Step 6: Final answer
    x = 321,419,676.12

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.