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Finding the Third Proportional to 96,838,339.71 and 207,491,940.28

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Solution

The third proportional to 96,838,339.71 and 207,491,940.28 is: 444,585,330.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,838,339.71 : 207,491,940.28 = 207,491,940.28 : x
  2. Step 2: Convert to fraction form
    96,838,339.71/207,491,940.28 = 207,491,940.28/x
  3. Step 3: Cross multiply
    96,838,339.71x = 207,491,940.28 × 207,491,940.28
  4. Step 4: Simplify right side
    96,838,339.71x = 43,052,905,281,677,816
  5. Step 5: Solve for x
    x = 43,052,905,281,677,816/96,838,339.71
  6. Step 6: Final answer
    x = 444,585,330.67

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.