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Finding the Third Proportional to 131,060,992.50 and 203,497,168.50

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Solution

The third proportional to 131,060,992.50 and 203,497,168.50 is: 315,968,136.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,060,992.50 : 203,497,168.50 = 203,497,168.50 : x
  2. Step 2: Convert to fraction form
    131,060,992.50/203,497,168.50 = 203,497,168.50/x
  3. Step 3: Cross multiply
    131,060,992.50x = 203,497,168.50 × 203,497,168.50
  4. Step 4: Simplify right side
    131,060,992.50x = 41,411,097,587,517,392
  5. Step 5: Solve for x
    x = 41,411,097,587,517,392/131,060,992.50
  6. Step 6: Final answer
    x = 315,968,136.65

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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.