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Finding the Third Proportional to 187,503,016 and 411,311,690

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Solution

The third proportional to 187,503,016 and 411,311,690 is: 902,264,453.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,503,016 : 411,311,690 = 411,311,690 : x
  2. Step 2: Convert to fraction form
    187,503,016/411,311,690 = 411,311,690/x
  3. Step 3: Cross multiply
    187,503,016x = 411,311,690 × 411,311,690
  4. Step 4: Simplify right side
    187,503,016x = 169,177,306,330,656,096
  5. Step 5: Solve for x
    x = 169,177,306,330,656,096/187,503,016
  6. Step 6: Final answer
    x = 902,264,453.87

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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.