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Finding the Third Proportional to 199,770,284,892 and 288,633,563,746

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Solution

The third proportional to 199,770,284,892 and 288,633,563,746 is: 417,025,656,071.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,770,284,892 : 288,633,563,746 = 288,633,563,746 : x
  2. Step 2: Convert to fraction form
    199,770,284,892/288,633,563,746 = 288,633,563,746/x
  3. Step 3: Cross multiply
    199,770,284,892x = 288,633,563,746 × 288,633,563,746
  4. Step 4: Simplify right side
    199,770,284,892x = 83,309,334,120,716,237,275,136
  5. Step 5: Solve for x
    x = 83,309,334,120,716,237,275,136/199,770,284,892
  6. Step 6: Final answer
    x = 417,025,656,071.70

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.