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Finding the Third Proportional to 85,260,033 and 187,526,178

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Solution

The third proportional to 85,260,033 and 187,526,178 is: 412,456,648.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,260,033 : 187,526,178 = 187,526,178 : x
  2. Step 2: Convert to fraction form
    85,260,033/187,526,178 = 187,526,178/x
  3. Step 3: Cross multiply
    85,260,033x = 187,526,178 × 187,526,178
  4. Step 4: Simplify right side
    85,260,033x = 35,166,067,435,287,684
  5. Step 5: Solve for x
    x = 35,166,067,435,287,684/85,260,033
  6. Step 6: Final answer
    x = 412,456,648.18

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.