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Finding the Third Proportional to 200,831,976 and 310,336,452

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Solution

The third proportional to 200,831,976 and 310,336,452 is: 479,548,702.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,831,976 : 310,336,452 = 310,336,452 : x
  2. Step 2: Convert to fraction form
    200,831,976/310,336,452 = 310,336,452/x
  3. Step 3: Cross multiply
    200,831,976x = 310,336,452 × 310,336,452
  4. Step 4: Simplify right side
    200,831,976x = 96,308,713,439,948,304
  5. Step 5: Solve for x
    x = 96,308,713,439,948,304/200,831,976
  6. Step 6: Final answer
    x = 479,548,702.14

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.