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Finding the Third Proportional to 118,932,169.50 and 256,083,774

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Solution

The third proportional to 118,932,169.50 and 256,083,774 is: 551,397,486.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,932,169.50 : 256,083,774 = 256,083,774 : x
  2. Step 2: Convert to fraction form
    118,932,169.50/256,083,774 = 256,083,774/x
  3. Step 3: Cross multiply
    118,932,169.50x = 256,083,774 × 256,083,774
  4. Step 4: Simplify right side
    118,932,169.50x = 65,578,899,306,083,072
  5. Step 5: Solve for x
    x = 65,578,899,306,083,072/118,932,169.50
  6. Step 6: Final answer
    x = 551,397,486.33

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.