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Finding the Third Proportional to 86,143,549 and 189,024,757

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Solution

The third proportional to 86,143,549 and 189,024,757 is: 414,776,952.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,143,549 : 189,024,757 = 189,024,757 : x
  2. Step 2: Convert to fraction form
    86,143,549/189,024,757 = 189,024,757/x
  3. Step 3: Cross multiply
    86,143,549x = 189,024,757 × 189,024,757
  4. Step 4: Simplify right side
    86,143,549x = 35,730,358,758,909,048
  5. Step 5: Solve for x
    x = 35,730,358,758,909,048/86,143,549
  6. Step 6: Final answer
    x = 414,776,952.82

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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.