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Finding the Third Proportional to 86,962,408 and 189,549,840

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Solution

The third proportional to 86,962,408 and 189,549,840 is: 413,157,163.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,962,408 : 189,549,840 = 189,549,840 : x
  2. Step 2: Convert to fraction form
    86,962,408/189,549,840 = 189,549,840/x
  3. Step 3: Cross multiply
    86,962,408x = 189,549,840 × 189,549,840
  4. Step 4: Simplify right side
    86,962,408x = 35,929,141,844,025,600
  5. Step 5: Solve for x
    x = 35,929,141,844,025,600/86,962,408
  6. Step 6: Final answer
    x = 413,157,163.77

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.