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Finding the Third Proportional to 141,013,289 and 309,267,067

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Solution

The third proportional to 141,013,289 and 309,267,067 is: 678,277,341.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,013,289 : 309,267,067 = 309,267,067 : x
  2. Step 2: Convert to fraction form
    141,013,289/309,267,067 = 309,267,067/x
  3. Step 3: Cross multiply
    141,013,289x = 309,267,067 × 309,267,067
  4. Step 4: Simplify right side
    141,013,289x = 95,646,118,730,782,496
  5. Step 5: Solve for x
    x = 95,646,118,730,782,496/141,013,289
  6. Step 6: Final answer
    x = 678,277,341.16

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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.