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Finding the Third Proportional to 92,941,824 and 202,003,296

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Solution

The third proportional to 92,941,824 and 202,003,296 is: 439,041,648.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,941,824 : 202,003,296 = 202,003,296 : x
  2. Step 2: Convert to fraction form
    92,941,824/202,003,296 = 202,003,296/x
  3. Step 3: Cross multiply
    92,941,824x = 202,003,296 × 202,003,296
  4. Step 4: Simplify right side
    92,941,824x = 40,805,331,594,863,616
  5. Step 5: Solve for x
    x = 40,805,331,594,863,616/92,941,824
  6. Step 6: Final answer
    x = 439,041,648.19

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.