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Finding the Third Proportional to 131,585,154 and 285,136,536

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Solution

The third proportional to 131,585,154 and 285,136,536 is: 617,872,470.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,585,154 : 285,136,536 = 285,136,536 : x
  2. Step 2: Convert to fraction form
    131,585,154/285,136,536 = 285,136,536/x
  3. Step 3: Cross multiply
    131,585,154x = 285,136,536 × 285,136,536
  4. Step 4: Simplify right side
    131,585,154x = 81,302,844,162,079,296
  5. Step 5: Solve for x
    x = 81,302,844,162,079,296/131,585,154
  6. Step 6: Final answer
    x = 617,872,470.34

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.