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Finding the Third Proportional to 191,403,879.75 and 419,863,963.50

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Solution

The third proportional to 191,403,879.75 and 419,863,963.50 is: 921,014,496.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,403,879.75 : 419,863,963.50 = 419,863,963.50 : x
  2. Step 2: Convert to fraction form
    191,403,879.75/419,863,963.50 = 419,863,963.50/x
  3. Step 3: Cross multiply
    191,403,879.75x = 419,863,963.50 × 419,863,963.50
  4. Step 4: Simplify right side
    191,403,879.75x = 176,285,747,845,929,344
  5. Step 5: Solve for x
    x = 176,285,747,845,929,344/191,403,879.75
  6. Step 6: Final answer
    x = 921,014,496.03

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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.