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Finding the Third Proportional to 195,314,065 and 417,489,259

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Solution

The third proportional to 195,314,065 and 417,489,259 is: 892,394,930.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,314,065 : 417,489,259 = 417,489,259 : x
  2. Step 2: Convert to fraction form
    195,314,065/417,489,259 = 417,489,259/x
  3. Step 3: Cross multiply
    195,314,065x = 417,489,259 × 417,489,259
  4. Step 4: Simplify right side
    195,314,065x = 174,297,281,380,369,088
  5. Step 5: Solve for x
    x = 174,297,281,380,369,088/195,314,065
  6. Step 6: Final answer
    x = 892,394,930.09

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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.