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Finding the Third Proportional to 201,497,195,108 and 440,952,218,824

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Solution

The third proportional to 201,497,195,108 and 440,952,218,824 is: 964,970,550,491.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,497,195,108 : 440,952,218,824 = 440,952,218,824 : x
  2. Step 2: Convert to fraction form
    201,497,195,108/440,952,218,824 = 440,952,218,824/x
  3. Step 3: Cross multiply
    201,497,195,108x = 440,952,218,824 × 440,952,218,824
  4. Step 4: Simplify right side
    201,497,195,108x = 194,438,859,285,808,793,255,936
  5. Step 5: Solve for x
    x = 194,438,859,285,808,793,255,936/201,497,195,108
  6. Step 6: Final answer
    x = 964,970,550,491.25

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.