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Finding the Third Proportional to 183,696,844 and 284,430,296

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Solution

The third proportional to 183,696,844 and 284,430,296 is: 440,402,739.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,696,844 : 284,430,296 = 284,430,296 : x
  2. Step 2: Convert to fraction form
    183,696,844/284,430,296 = 284,430,296/x
  3. Step 3: Cross multiply
    183,696,844x = 284,430,296 × 284,430,296
  4. Step 4: Simplify right side
    183,696,844x = 80,900,593,282,647,616
  5. Step 5: Solve for x
    x = 80,900,593,282,647,616/183,696,844
  6. Step 6: Final answer
    x = 440,402,739.21

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.