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Finding the Third Proportional to 203,360,491.13 and 286,376,383.41

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Solution

The third proportional to 203,360,491.13 and 286,376,383.41 is: 403,281,052.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,360,491.13 : 286,376,383.41 = 286,376,383.41 : x
  2. Step 2: Convert to fraction form
    203,360,491.13/286,376,383.41 = 286,376,383.41/x
  3. Step 3: Cross multiply
    203,360,491.13x = 286,376,383.41 × 286,376,383.41
  4. Step 4: Simplify right side
    203,360,491.13x = 82,011,432,972,843,504
  5. Step 5: Solve for x
    x = 82,011,432,972,843,504/203,360,491.13
  6. Step 6: Final answer
    x = 403,281,052.87

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.