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Finding the Third Proportional to 86,143,544 and 189,024,748

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Solution

The third proportional to 86,143,544 and 189,024,748 is: 414,776,937.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,143,544 : 189,024,748 = 189,024,748 : x
  2. Step 2: Convert to fraction form
    86,143,544/189,024,748 = 189,024,748/x
  3. Step 3: Cross multiply
    86,143,544x = 189,024,748 × 189,024,748
  4. Step 4: Simplify right side
    86,143,544x = 35,730,355,356,463,504
  5. Step 5: Solve for x
    x = 35,730,355,356,463,504/86,143,544
  6. Step 6: Final answer
    x = 414,776,937.39

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.