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Finding the Third Proportional to 95,546,410 and 208,976,261

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Solution

The third proportional to 95,546,410 and 208,976,261 is: 457,066,651.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,546,410 : 208,976,261 = 208,976,261 : x
  2. Step 2: Convert to fraction form
    95,546,410/208,976,261 = 208,976,261/x
  3. Step 3: Cross multiply
    95,546,410x = 208,976,261 × 208,976,261
  4. Step 4: Simplify right side
    95,546,410x = 43,671,077,661,540,120
  5. Step 5: Solve for x
    x = 43,671,077,661,540,120/95,546,410
  6. Step 6: Final answer
    x = 457,066,651.29

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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.