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Finding the Third Proportional to 192,375,339 and 403,646,358

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Solution

The third proportional to 192,375,339 and 403,646,358 is: 846,940,066.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,375,339 : 403,646,358 = 403,646,358 : x
  2. Step 2: Convert to fraction form
    192,375,339/403,646,358 = 403,646,358/x
  3. Step 3: Cross multiply
    192,375,339x = 403,646,358 × 403,646,358
  4. Step 4: Simplify right side
    192,375,339x = 162,930,382,326,664,160
  5. Step 5: Solve for x
    x = 162,930,382,326,664,160/192,375,339
  6. Step 6: Final answer
    x = 846,940,066.09

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.