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Finding the Third Proportional to 193,689,328 and 417,976,736

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Solution

The third proportional to 193,689,328 and 417,976,736 is: 901,983,365.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,689,328 : 417,976,736 = 417,976,736 : x
  2. Step 2: Convert to fraction form
    193,689,328/417,976,736 = 417,976,736/x
  3. Step 3: Cross multiply
    193,689,328x = 417,976,736 × 417,976,736
  4. Step 4: Simplify right side
    193,689,328x = 174,704,551,837,213,696
  5. Step 5: Solve for x
    x = 174,704,551,837,213,696/193,689,328
  6. Step 6: Final answer
    x = 901,983,365.02

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.