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Finding the Third Proportional to 141,013,291 and 309,267,071

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Solution

The third proportional to 141,013,291 and 309,267,071 is: 678,277,349.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,013,291 : 309,267,071 = 309,267,071 : x
  2. Step 2: Convert to fraction form
    141,013,291/309,267,071 = 309,267,071/x
  3. Step 3: Cross multiply
    141,013,291x = 309,267,071 × 309,267,071
  4. Step 4: Simplify right side
    141,013,291x = 95,646,121,204,919,040
  5. Step 5: Solve for x
    x = 95,646,121,204,919,040/141,013,291
  6. Step 6: Final answer
    x = 678,277,349.08

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.