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Finding the Third Proportional to 96,042,338 and 210,299,524

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Solution

The third proportional to 96,042,338 and 210,299,524 is: 460,483,269.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,042,338 : 210,299,524 = 210,299,524 : x
  2. Step 2: Convert to fraction form
    96,042,338/210,299,524 = 210,299,524/x
  3. Step 3: Cross multiply
    96,042,338x = 210,299,524 × 210,299,524
  4. Step 4: Simplify right side
    96,042,338x = 44,225,889,794,626,576
  5. Step 5: Solve for x
    x = 44,225,889,794,626,576/96,042,338
  6. Step 6: Final answer
    x = 460,483,269.31

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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.