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Finding the Third Proportional to 86,143,546 and 189,024,752

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Solution

The third proportional to 86,143,546 and 189,024,752 is: 414,776,945.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,143,546 : 189,024,752 = 189,024,752 : x
  2. Step 2: Convert to fraction form
    86,143,546/189,024,752 = 189,024,752/x
  3. Step 3: Cross multiply
    86,143,546x = 189,024,752 × 189,024,752
  4. Step 4: Simplify right side
    86,143,546x = 35,730,356,868,661,504
  5. Step 5: Solve for x
    x = 35,730,356,868,661,504/86,143,546
  6. Step 6: Final answer
    x = 414,776,945.32

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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.