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Finding the Third Proportional to 229,517,517 and 495,305,337

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Solution

The third proportional to 229,517,517 and 495,305,337 is: 1,068,883,020.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,517,517 : 495,305,337 = 495,305,337 : x
  2. Step 2: Convert to fraction form
    229,517,517/495,305,337 = 495,305,337/x
  3. Step 3: Cross multiply
    229,517,517x = 495,305,337 × 495,305,337
  4. Step 4: Simplify right side
    229,517,517x = 245,327,376,860,683,584
  5. Step 5: Solve for x
    x = 245,327,376,860,683,584/229,517,517
  6. Step 6: Final answer
    x = 1,068,883,020.64

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.