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Finding the Third Proportional to 86,453,649 and 189,727,353

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Solution

The third proportional to 86,453,649 and 189,727,353 is: 416,367,254.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,453,649 : 189,727,353 = 189,727,353 : x
  2. Step 2: Convert to fraction form
    86,453,649/189,727,353 = 189,727,353/x
  3. Step 3: Cross multiply
    86,453,649x = 189,727,353 × 189,727,353
  4. Step 4: Simplify right side
    86,453,649x = 35,996,468,476,386,608
  5. Step 5: Solve for x
    x = 35,996,468,476,386,608/86,453,649
  6. Step 6: Final answer
    x = 416,367,254.51

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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.