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Finding the Third Proportional to 243,802,144 and 520,668,812

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Solution

The third proportional to 243,802,144 and 520,668,812 is: 1,111,950,893.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,802,144 : 520,668,812 = 520,668,812 : x
  2. Step 2: Convert to fraction form
    243,802,144/520,668,812 = 520,668,812/x
  3. Step 3: Cross multiply
    243,802,144x = 520,668,812 × 520,668,812
  4. Step 4: Simplify right side
    243,802,144x = 271,096,011,789,491,328
  5. Step 5: Solve for x
    x = 271,096,011,789,491,328/243,802,144
  6. Step 6: Final answer
    x = 1,111,950,893.22

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.