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Finding the Third Proportional to 147,524,508 and 216,503,775

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Solution

The third proportional to 147,524,508 and 216,503,775 is: 317,736,254.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,524,508 : 216,503,775 = 216,503,775 : x
  2. Step 2: Convert to fraction form
    147,524,508/216,503,775 = 216,503,775/x
  3. Step 3: Cross multiply
    147,524,508x = 216,503,775 × 216,503,775
  4. Step 4: Simplify right side
    147,524,508x = 46,873,884,589,250,624
  5. Step 5: Solve for x
    x = 46,873,884,589,250,624/147,524,508
  6. Step 6: Final answer
    x = 317,736,254.30

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.