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Finding the Third Proportional to 283,447,147.50 and 440,094,147.75

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Solution

The third proportional to 283,447,147.50 and 440,094,147.75 is: 683,312,076.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,447,147.50 : 440,094,147.75 = 440,094,147.75 : x
  2. Step 2: Convert to fraction form
    283,447,147.50/440,094,147.75 = 440,094,147.75/x
  3. Step 3: Cross multiply
    283,447,147.50x = 440,094,147.75 × 440,094,147.75
  4. Step 4: Simplify right side
    283,447,147.50x = 193,682,858,883,798,816
  5. Step 5: Solve for x
    x = 193,682,858,883,798,816/283,447,147.50
  6. Step 6: Final answer
    x = 683,312,076.32

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.