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Finding the Third Proportional to 129,024,069.75 and 204,624,650.25

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Solution

The third proportional to 129,024,069.75 and 204,624,650.25 is: 324,522,762.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,024,069.75 : 204,624,650.25 = 204,624,650.25 : x
  2. Step 2: Convert to fraction form
    129,024,069.75/204,624,650.25 = 204,624,650.25/x
  3. Step 3: Cross multiply
    129,024,069.75x = 204,624,650.25 × 204,624,650.25
  4. Step 4: Simplify right side
    129,024,069.75x = 41,871,247,489,934,824
  5. Step 5: Solve for x
    x = 41,871,247,489,934,824/129,024,069.75
  6. Step 6: Final answer
    x = 324,522,762.08

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.