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Finding the Third Proportional to 282,831,100 and 608,887,512

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Solution

The third proportional to 282,831,100 and 608,887,512 is: 1,310,831,808.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,831,100 : 608,887,512 = 608,887,512 : x
  2. Step 2: Convert to fraction form
    282,831,100/608,887,512 = 608,887,512/x
  3. Step 3: Cross multiply
    282,831,100x = 608,887,512 × 608,887,512
  4. Step 4: Simplify right side
    282,831,100x = 370,744,002,269,550,144
  5. Step 5: Solve for x
    x = 370,744,002,269,550,144/282,831,100
  6. Step 6: Final answer
    x = 1,310,831,808.35

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.