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Finding the Third Proportional to 199,770,284,888 and 288,633,563,740

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Solution

The third proportional to 199,770,284,888 and 288,633,563,740 is: 417,025,656,062.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,770,284,888 : 288,633,563,740 = 288,633,563,740 : x
  2. Step 2: Convert to fraction form
    199,770,284,888/288,633,563,740 = 288,633,563,740/x
  3. Step 3: Cross multiply
    199,770,284,888x = 288,633,563,740 × 288,633,563,740
  4. Step 4: Simplify right side
    199,770,284,888x = 83,309,334,117,252,648,140,800
  5. Step 5: Solve for x
    x = 83,309,334,117,252,648,140,800/199,770,284,888
  6. Step 6: Final answer
    x = 417,025,656,062.71

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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.