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Finding the Third Proportional to 143,662,624,566 and 202,051,869,672

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Solution

The third proportional to 143,662,624,566 and 202,051,869,672 is: 284,172,436,368.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,662,624,566 : 202,051,869,672 = 202,051,869,672 : x
  2. Step 2: Convert to fraction form
    143,662,624,566/202,051,869,672 = 202,051,869,672/x
  3. Step 3: Cross multiply
    143,662,624,566x = 202,051,869,672 × 202,051,869,672
  4. Step 4: Simplify right side
    143,662,624,566x = 40,824,958,037,950,872,944,640
  5. Step 5: Solve for x
    x = 40,824,958,037,950,872,944,640/143,662,624,566
  6. Step 6: Final answer
    x = 284,172,436,368.07

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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.