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Finding the Third Proportional to 143,662,624,560 and 202,051,869,663

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Solution

The third proportional to 143,662,624,560 and 202,051,869,663 is: 284,172,436,354.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,662,624,560 : 202,051,869,663 = 202,051,869,663 : x
  2. Step 2: Convert to fraction form
    143,662,624,560/202,051,869,663 = 202,051,869,663/x
  3. Step 3: Cross multiply
    143,662,624,560x = 202,051,869,663 × 202,051,869,663
  4. Step 4: Simplify right side
    143,662,624,560x = 40,824,958,034,313,941,614,592
  5. Step 5: Solve for x
    x = 40,824,958,034,313,941,614,592/143,662,624,560
  6. Step 6: Final answer
    x = 284,172,436,354.62

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.