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Finding the Third Proportional to 86,728,466 and 188,572,900

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Solution

The third proportional to 86,728,466 and 188,572,900 is: 410,012,309.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,728,466 : 188,572,900 = 188,572,900 : x
  2. Step 2: Convert to fraction form
    86,728,466/188,572,900 = 188,572,900/x
  3. Step 3: Cross multiply
    86,728,466x = 188,572,900 × 188,572,900
  4. Step 4: Simplify right side
    86,728,466x = 35,559,738,614,410,000
  5. Step 5: Solve for x
    x = 35,559,738,614,410,000/86,728,466
  6. Step 6: Final answer
    x = 410,012,309.16

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.