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Finding the Third Proportional to 46,546,665 and 97,917,123

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Solution

The third proportional to 46,546,665 and 97,917,123 is: 205,981,738.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,546,665 : 97,917,123 = 97,917,123 : x
  2. Step 2: Convert to fraction form
    46,546,665/97,917,123 = 97,917,123/x
  3. Step 3: Cross multiply
    46,546,665x = 97,917,123 × 97,917,123
  4. Step 4: Simplify right side
    46,546,665x = 9,587,762,976,597,128
  5. Step 5: Solve for x
    x = 9,587,762,976,597,128/46,546,665
  6. Step 6: Final answer
    x = 205,981,738.47

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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.