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Finding the Third Proportional to 96,376,316 and 146,823,098

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Solution

The third proportional to 96,376,316 and 146,823,098 is: 223,675,514.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,376,316 : 146,823,098 = 146,823,098 : x
  2. Step 2: Convert to fraction form
    96,376,316/146,823,098 = 146,823,098/x
  3. Step 3: Cross multiply
    96,376,316x = 146,823,098 × 146,823,098
  4. Step 4: Simplify right side
    96,376,316x = 21,557,022,106,317,604
  5. Step 5: Solve for x
    x = 21,557,022,106,317,604/96,376,316
  6. Step 6: Final answer
    x = 223,675,514.91

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.