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Finding the Third Proportional to 46,546,650 and 97,917,093

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Solution

The third proportional to 46,546,650 and 97,917,093 is: 205,981,678.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,546,650 : 97,917,093 = 97,917,093 : x
  2. Step 2: Convert to fraction form
    46,546,650/97,917,093 = 97,917,093/x
  3. Step 3: Cross multiply
    46,546,650x = 97,917,093 × 97,917,093
  4. Step 4: Simplify right side
    46,546,650x = 9,587,757,101,570,648
  5. Step 5: Solve for x
    x = 9,587,757,101,570,648/46,546,650
  6. Step 6: Final answer
    x = 205,981,678.63

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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.