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Finding the Third Proportional to 128,509,384.50 and 195,777,204.75

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Solution

The third proportional to 128,509,384.50 and 195,777,204.75 is: 298,256,147.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,509,384.50 : 195,777,204.75 = 195,777,204.75 : x
  2. Step 2: Convert to fraction form
    128,509,384.50/195,777,204.75 = 195,777,204.75/x
  3. Step 3: Cross multiply
    128,509,384.50x = 195,777,204.75 × 195,777,204.75
  4. Step 4: Simplify right side
    128,509,384.50x = 38,328,713,899,723,424
  5. Step 5: Solve for x
    x = 38,328,713,899,723,424/128,509,384.50
  6. Step 6: Final answer
    x = 298,256,147.20

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.