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Finding the Third Proportional to 45,094,770 and 96,566,828

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Solution

The third proportional to 45,094,770 and 96,566,828 is: 206,790,106.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,094,770 : 96,566,828 = 96,566,828 : x
  2. Step 2: Convert to fraction form
    45,094,770/96,566,828 = 96,566,828/x
  3. Step 3: Cross multiply
    45,094,770x = 96,566,828 × 96,566,828
  4. Step 4: Simplify right side
    45,094,770x = 9,325,152,269,981,584
  5. Step 5: Solve for x
    x = 9,325,152,269,981,584/45,094,770
  6. Step 6: Final answer
    x = 206,790,106.04

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.