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Finding the Third Proportional to 187,503,012 and 411,311,682

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Solution

The third proportional to 187,503,012 and 411,311,682 is: 902,264,438.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,503,012 : 411,311,682 = 411,311,682 : x
  2. Step 2: Convert to fraction form
    187,503,012/411,311,682 = 411,311,682/x
  3. Step 3: Cross multiply
    187,503,012x = 411,311,682 × 411,311,682
  4. Step 4: Simplify right side
    187,503,012x = 169,177,299,749,669,120
  5. Step 5: Solve for x
    x = 169,177,299,749,669,120/187,503,012
  6. Step 6: Final answer
    x = 902,264,438.02

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.