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Finding the Third Proportional to 86,131,710 and 189,003,681

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Solution

The third proportional to 86,131,710 and 189,003,681 is: 414,741,463.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,131,710 : 189,003,681 = 189,003,681 : x
  2. Step 2: Convert to fraction form
    86,131,710/189,003,681 = 189,003,681/x
  3. Step 3: Cross multiply
    86,131,710x = 189,003,681 × 189,003,681
  4. Step 4: Simplify right side
    86,131,710x = 35,722,391,431,549,760
  5. Step 5: Solve for x
    x = 35,722,391,431,549,760/86,131,710
  6. Step 6: Final answer
    x = 414,741,463.18

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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.