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Finding the Third Proportional to 195,845,361 and 296,286,880.50

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Solution

The third proportional to 195,845,361 and 296,286,880.50 is: 448,240,974.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,845,361 : 296,286,880.50 = 296,286,880.50 : x
  2. Step 2: Convert to fraction form
    195,845,361/296,286,880.50 = 296,286,880.50/x
  3. Step 3: Cross multiply
    195,845,361x = 296,286,880.50 × 296,286,880.50
  4. Step 4: Simplify right side
    195,845,361x = 87,785,915,556,421,280
  5. Step 5: Solve for x
    x = 87,785,915,556,421,280/195,845,361
  6. Step 6: Final answer
    x = 448,240,974.96

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.