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Finding the Third Proportional to 204,658,326 and 314,892,009

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Solution

The third proportional to 204,658,326 and 314,892,009 is: 484,500,089.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,658,326 : 314,892,009 = 314,892,009 : x
  2. Step 2: Convert to fraction form
    204,658,326/314,892,009 = 314,892,009/x
  3. Step 3: Cross multiply
    204,658,326x = 314,892,009 × 314,892,009
  4. Step 4: Simplify right side
    204,658,326x = 99,156,977,332,056,080
  5. Step 5: Solve for x
    x = 99,156,977,332,056,080/204,658,326
  6. Step 6: Final answer
    x = 484,500,089.83

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.