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Finding the Third Proportional to 94,540,284 and 205,644,906

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Solution

The third proportional to 94,540,284 and 205,644,906 is: 447,320,714.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,540,284 : 205,644,906 = 205,644,906 : x
  2. Step 2: Convert to fraction form
    94,540,284/205,644,906 = 205,644,906/x
  3. Step 3: Cross multiply
    94,540,284x = 205,644,906 × 205,644,906
  4. Step 4: Simplify right side
    94,540,284x = 42,289,827,363,748,832
  5. Step 5: Solve for x
    x = 42,289,827,363,748,832/94,540,284
  6. Step 6: Final answer
    x = 447,320,714.24

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.