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Finding the Third Proportional to 187,082,034 and 408,160,740

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Solution

The third proportional to 187,082,034 and 408,160,740 is: 890,492,721.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,082,034 : 408,160,740 = 408,160,740 : x
  2. Step 2: Convert to fraction form
    187,082,034/408,160,740 = 408,160,740/x
  3. Step 3: Cross multiply
    187,082,034x = 408,160,740 × 408,160,740
  4. Step 4: Simplify right side
    187,082,034x = 166,595,189,677,347,584
  5. Step 5: Solve for x
    x = 166,595,189,677,347,584/187,082,034
  6. Step 6: Final answer
    x = 890,492,721.91

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.