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Finding the Third Proportional to 136,565,227.50 and 204,852,211.50

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Solution

The third proportional to 136,565,227.50 and 204,852,211.50 is: 307,284,872.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,565,227.50 : 204,852,211.50 = 204,852,211.50 : x
  2. Step 2: Convert to fraction form
    136,565,227.50/204,852,211.50 = 204,852,211.50/x
  3. Step 3: Cross multiply
    136,565,227.50x = 204,852,211.50 × 204,852,211.50
  4. Step 4: Simplify right side
    136,565,227.50x = 41,964,428,556,440,736
  5. Step 5: Solve for x
    x = 41,964,428,556,440,736/136,565,227.50
  6. Step 6: Final answer
    x = 307,284,872.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.