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Finding the Third Proportional to 204,175,428 and 313,832,268

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Solution

The third proportional to 204,175,428 and 313,832,268 is: 482,382,691.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,175,428 : 313,832,268 = 313,832,268 : x
  2. Step 2: Convert to fraction form
    204,175,428/313,832,268 = 313,832,268/x
  3. Step 3: Cross multiply
    204,175,428x = 313,832,268 × 313,832,268
  4. Step 4: Simplify right side
    204,175,428x = 98,490,692,438,023,824
  5. Step 5: Solve for x
    x = 98,490,692,438,023,824/204,175,428
  6. Step 6: Final answer
    x = 482,382,691.21

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