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Finding the Third Proportional to 172,452,462.50 and 260,469,136

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Solution

The third proportional to 172,452,462.50 and 260,469,136 is: 393,407,956.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,452,462.50 : 260,469,136 = 260,469,136 : x
  2. Step 2: Convert to fraction form
    172,452,462.50/260,469,136 = 260,469,136/x
  3. Step 3: Cross multiply
    172,452,462.50x = 260,469,136 × 260,469,136
  4. Step 4: Simplify right side
    172,452,462.50x = 67,844,170,808,586,496
  5. Step 5: Solve for x
    x = 67,844,170,808,586,496/172,452,462.50
  6. Step 6: Final answer
    x = 393,407,956.17

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.