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Finding the Third Proportional to 85,238,568 and 184,097,004

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Solution

The third proportional to 85,238,568 and 184,097,004 is: 397,609,998.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,238,568 : 184,097,004 = 184,097,004 : x
  2. Step 2: Convert to fraction form
    85,238,568/184,097,004 = 184,097,004/x
  3. Step 3: Cross multiply
    85,238,568x = 184,097,004 × 184,097,004
  4. Step 4: Simplify right side
    85,238,568x = 33,891,706,881,776,016
  5. Step 5: Solve for x
    x = 33,891,706,881,776,016/85,238,568
  6. Step 6: Final answer
    x = 397,609,998.35

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.