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Finding the Third Proportional to 86,143,548 and 189,024,753

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Solution

The third proportional to 86,143,548 and 189,024,753 is: 414,776,940.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,143,548 : 189,024,753 = 189,024,753 : x
  2. Step 2: Convert to fraction form
    86,143,548/189,024,753 = 189,024,753/x
  3. Step 3: Cross multiply
    86,143,548x = 189,024,753 × 189,024,753
  4. Step 4: Simplify right side
    86,143,548x = 35,730,357,246,711,008
  5. Step 5: Solve for x
    x = 35,730,357,246,711,008/86,143,548
  6. Step 6: Final answer
    x = 414,776,940.08

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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.