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Finding the Third Proportional to 143,662,624,564 and 202,051,869,668

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Solution

The third proportional to 143,662,624,564 and 202,051,869,668 is: 284,172,436,360.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,662,624,564 : 202,051,869,668 = 202,051,869,668 : x
  2. Step 2: Convert to fraction form
    143,662,624,564/202,051,869,668 = 202,051,869,668/x
  3. Step 3: Cross multiply
    143,662,624,564x = 202,051,869,668 × 202,051,869,668
  4. Step 4: Simplify right side
    143,662,624,564x = 40,824,958,036,334,455,291,904
  5. Step 5: Solve for x
    x = 40,824,958,036,334,455,291,904/143,662,624,564
  6. Step 6: Final answer
    x = 284,172,436,360.77

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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.