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Finding the Third Proportional to 195,845,366 and 296,286,889

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Solution

The third proportional to 195,845,366 and 296,286,889 is: 448,240,989.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,845,366 : 296,286,889 = 296,286,889 : x
  2. Step 2: Convert to fraction form
    195,845,366/296,286,889 = 296,286,889/x
  3. Step 3: Cross multiply
    195,845,366x = 296,286,889 × 296,286,889
  4. Step 4: Simplify right side
    195,845,366x = 87,785,920,593,298,320
  5. Step 5: Solve for x
    x = 87,785,920,593,298,320/195,845,366
  6. Step 6: Final answer
    x = 448,240,989.24

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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.