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Finding the Third Proportional to 128,509,233 and 195,776,986.50

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Solution

The third proportional to 128,509,233 and 195,776,986.50 is: 298,255,833.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,509,233 : 195,776,986.50 = 195,776,986.50 : x
  2. Step 2: Convert to fraction form
    128,509,233/195,776,986.50 = 195,776,986.50/x
  3. Step 3: Cross multiply
    128,509,233x = 195,776,986.50 × 195,776,986.50
  4. Step 4: Simplify right side
    128,509,233x = 38,328,628,443,021,184
  5. Step 5: Solve for x
    x = 38,328,628,443,021,184/128,509,233
  6. Step 6: Final answer
    x = 298,255,833.83

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Why These Related Problems?

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