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Finding the Third Proportional to 76,398,309 and 165,716,227

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Solution

The third proportional to 76,398,309 and 165,716,227 is: 359,456,488.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,398,309 : 165,716,227 = 165,716,227 : x
  2. Step 2: Convert to fraction form
    76,398,309/165,716,227 = 165,716,227/x
  3. Step 3: Cross multiply
    76,398,309x = 165,716,227 × 165,716,227
  4. Step 4: Simplify right side
    76,398,309x = 27,461,867,891,115,528
  5. Step 5: Solve for x
    x = 27,461,867,891,115,528/76,398,309
  6. Step 6: Final answer
    x = 359,456,488.64

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.