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Finding the Third Proportional to 86,143,543 and 189,024,743

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Solution

The third proportional to 86,143,543 and 189,024,743 is: 414,776,920.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,143,543 : 189,024,743 = 189,024,743 : x
  2. Step 2: Convert to fraction form
    86,143,543/189,024,743 = 189,024,743/x
  3. Step 3: Cross multiply
    86,143,543x = 189,024,743 × 189,024,743
  4. Step 4: Simplify right side
    86,143,543x = 35,730,353,466,216,048
  5. Step 5: Solve for x
    x = 35,730,353,466,216,048/86,143,543
  6. Step 6: Final answer
    x = 414,776,920.26

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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.