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Finding the Third Proportional to 90,784,834.50 and 188,029,446

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Solution

The third proportional to 90,784,834.50 and 188,029,446 is: 389,438,090.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,784,834.50 : 188,029,446 = 188,029,446 : x
  2. Step 2: Convert to fraction form
    90,784,834.50/188,029,446 = 188,029,446/x
  3. Step 3: Cross multiply
    90,784,834.50x = 188,029,446 × 188,029,446
  4. Step 4: Simplify right side
    90,784,834.50x = 35,355,072,563,066,916
  5. Step 5: Solve for x
    x = 35,355,072,563,066,916/90,784,834.50
  6. Step 6: Final answer
    x = 389,438,090.16

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.