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Finding the Third Proportional to 57,303,922.50 and 123,682,720.50

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Solution

The third proportional to 57,303,922.50 and 123,682,720.50 is: 266,952,325.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,303,922.50 : 123,682,720.50 = 123,682,720.50 : x
  2. Step 2: Convert to fraction form
    57,303,922.50/123,682,720.50 = 123,682,720.50/x
  3. Step 3: Cross multiply
    57,303,922.50x = 123,682,720.50 × 123,682,720.50
  4. Step 4: Simplify right side
    57,303,922.50x = 15,297,415,350,281,120
  5. Step 5: Solve for x
    x = 15,297,415,350,281,120/57,303,922.50
  6. Step 6: Final answer
    x = 266,952,325.13

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.