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Finding the Third Proportional to 195,845,364 and 296,286,885.50

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Solution

The third proportional to 195,845,364 and 296,286,885.50 is: 448,240,983.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,845,364 : 296,286,885.50 = 296,286,885.50 : x
  2. Step 2: Convert to fraction form
    195,845,364/296,286,885.50 = 296,286,885.50/x
  3. Step 3: Cross multiply
    195,845,364x = 296,286,885.50 × 296,286,885.50
  4. Step 4: Simplify right side
    195,845,364x = 87,785,918,519,290,112
  5. Step 5: Solve for x
    x = 87,785,918,519,290,112/195,845,364
  6. Step 6: Final answer
    x = 448,240,983.22

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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.