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Finding the Third Proportional to 93,770,998,279.88 and 201,154,389,136.12

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Solution

The third proportional to 93,770,998,279.88 and 201,154,389,136.12 is: 431,509,624,627.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,770,998,279.88 : 201,154,389,136.12 = 201,154,389,136.12 : x
  2. Step 2: Convert to fraction form
    93,770,998,279.88/201,154,389,136.12 = 201,154,389,136.12/x
  3. Step 3: Cross multiply
    93,770,998,279.88x = 201,154,389,136.12 × 201,154,389,136.12
  4. Step 4: Simplify right side
    93,770,998,279.88x = 40,463,088,268,725,591,212,032
  5. Step 5: Solve for x
    x = 40,463,088,268,725,591,212,032/93,770,998,279.88
  6. Step 6: Final answer
    x = 431,509,624,627.83

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.