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Finding the Third Proportional to 86,499,099 and 189,428,578.88

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Solution

The third proportional to 86,499,099 and 189,428,578.88 is: 414,838,846.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,499,099 : 189,428,578.88 = 189,428,578.88 : x
  2. Step 2: Convert to fraction form
    86,499,099/189,428,578.88 = 189,428,578.88/x
  3. Step 3: Cross multiply
    86,499,099x = 189,428,578.88 × 189,428,578.88
  4. Step 4: Simplify right side
    86,499,099x = 35,883,186,494,602,096
  5. Step 5: Solve for x
    x = 35,883,186,494,602,096/86,499,099
  6. Step 6: Final answer
    x = 414,838,846.99

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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.