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Finding the Third Proportional to 50,845,000.50 and 65,283,900.75

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Solution

The third proportional to 50,845,000.50 and 65,283,900.75 is: 83,823,142.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,845,000.50 : 65,283,900.75 = 65,283,900.75 : x
  2. Step 2: Convert to fraction form
    50,845,000.50/65,283,900.75 = 65,283,900.75/x
  3. Step 3: Cross multiply
    50,845,000.50x = 65,283,900.75 × 65,283,900.75
  4. Step 4: Simplify right side
    50,845,000.50x = 4,261,987,697,135,850.50
  5. Step 5: Solve for x
    x = 4,261,987,697,135,850.50/50,845,000.50
  6. Step 6: Final answer
    x = 83,823,142.00

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.