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Finding the Third Proportional to 204,174,728 and 313,831,340

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Solution

The third proportional to 204,174,728 and 313,831,340 is: 482,381,492.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,174,728 : 313,831,340 = 313,831,340 : x
  2. Step 2: Convert to fraction form
    204,174,728/313,831,340 = 313,831,340/x
  3. Step 3: Cross multiply
    204,174,728x = 313,831,340 × 313,831,340
  4. Step 4: Simplify right side
    204,174,728x = 98,490,109,966,195,600
  5. Step 5: Solve for x
    x = 98,490,109,966,195,600/204,174,728
  6. Step 6: Final answer
    x = 482,381,492.22

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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.