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Finding the Third Proportional to 202,052,778.75 and 295,520,896.13

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Solution

The third proportional to 202,052,778.75 and 295,520,896.13 is: 432,226,671.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,052,778.75 : 295,520,896.13 = 295,520,896.13 : x
  2. Step 2: Convert to fraction form
    202,052,778.75/295,520,896.13 = 295,520,896.13/x
  3. Step 3: Cross multiply
    202,052,778.75x = 295,520,896.13 × 295,520,896.13
  4. Step 4: Simplify right side
    202,052,778.75x = 87,332,600,046,523,040
  5. Step 5: Solve for x
    x = 87,332,600,046,523,040/202,052,778.75
  6. Step 6: Final answer
    x = 432,226,671.60

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.