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Finding the Third Proportional to 128,199,261 and 260,929,164

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Solution

The third proportional to 128,199,261 and 260,929,164 is: 531,079,727.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,199,261 : 260,929,164 = 260,929,164 : x
  2. Step 2: Convert to fraction form
    128,199,261/260,929,164 = 260,929,164/x
  3. Step 3: Cross multiply
    128,199,261x = 260,929,164 × 260,929,164
  4. Step 4: Simplify right side
    128,199,261x = 68,084,028,625,738,896
  5. Step 5: Solve for x
    x = 68,084,028,625,738,896/128,199,261
  6. Step 6: Final answer
    x = 531,079,727.72

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.