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Finding the Third Proportional to 75,435,966 and 111,739,581

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Solution

The third proportional to 75,435,966 and 111,739,581 is: 165,514,337.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,435,966 : 111,739,581 = 111,739,581 : x
  2. Step 2: Convert to fraction form
    75,435,966/111,739,581 = 111,739,581/x
  3. Step 3: Cross multiply
    75,435,966x = 111,739,581 × 111,739,581
  4. Step 4: Simplify right side
    75,435,966x = 12,485,733,962,055,560
  5. Step 5: Solve for x
    x = 12,485,733,962,055,560/75,435,966
  6. Step 6: Final answer
    x = 165,514,337.84

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.