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Finding the Third Proportional to 195,845,386 and 296,286,919

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Solution

The third proportional to 195,845,386 and 296,286,919 is: 448,241,034.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,845,386 : 296,286,919 = 296,286,919 : x
  2. Step 2: Convert to fraction form
    195,845,386/296,286,919 = 296,286,919/x
  3. Step 3: Cross multiply
    195,845,386x = 296,286,919 × 296,286,919
  4. Step 4: Simplify right side
    195,845,386x = 87,785,938,370,512,560
  5. Step 5: Solve for x
    x = 87,785,938,370,512,560/195,845,386
  6. Step 6: Final answer
    x = 448,241,034.23

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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.