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Finding the Third Proportional to 86,804,739 and 187,238,512.69

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Solution

The third proportional to 86,804,739 and 187,238,512.69 is: 403,874,961.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,804,739 : 187,238,512.69 = 187,238,512.69 : x
  2. Step 2: Convert to fraction form
    86,804,739/187,238,512.69 = 187,238,512.69/x
  3. Step 3: Cross multiply
    86,804,739x = 187,238,512.69 × 187,238,512.69
  4. Step 4: Simplify right side
    86,804,739x = 35,058,260,633,427,100
  5. Step 5: Solve for x
    x = 35,058,260,633,427,100/86,804,739
  6. Step 6: Final answer
    x = 403,874,961.64

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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.