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Finding the Third Proportional to 75,404,709 and 164,246,184

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Solution

The third proportional to 75,404,709 and 164,246,184 is: 357,760,268.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,404,709 : 164,246,184 = 164,246,184 : x
  2. Step 2: Convert to fraction form
    75,404,709/164,246,184 = 164,246,184/x
  3. Step 3: Cross multiply
    75,404,709x = 164,246,184 × 164,246,184
  4. Step 4: Simplify right side
    75,404,709x = 26,976,808,958,561,856
  5. Step 5: Solve for x
    x = 26,976,808,958,561,856/75,404,709
  6. Step 6: Final answer
    x = 357,760,268.77

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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.