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Finding the Third Proportional to 85,138,794 and 186,758,820

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Solution

The third proportional to 85,138,794 and 186,758,820 is: 409,670,553.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,138,794 : 186,758,820 = 186,758,820 : x
  2. Step 2: Convert to fraction form
    85,138,794/186,758,820 = 186,758,820/x
  3. Step 3: Cross multiply
    85,138,794x = 186,758,820 × 186,758,820
  4. Step 4: Simplify right side
    85,138,794x = 34,878,856,847,792,400
  5. Step 5: Solve for x
    x = 34,878,856,847,792,400/85,138,794
  6. Step 6: Final answer
    x = 409,670,553.33

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