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Finding the Third Proportional to 75,305,952 and 164,422,176

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Solution

The third proportional to 75,305,952 and 164,422,176 is: 358,997,545.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,305,952 : 164,422,176 = 164,422,176 : x
  2. Step 2: Convert to fraction form
    75,305,952/164,422,176 = 164,422,176/x
  3. Step 3: Cross multiply
    75,305,952x = 164,422,176 × 164,422,176
  4. Step 4: Simplify right side
    75,305,952x = 27,034,651,960,574,976
  5. Step 5: Solve for x
    x = 27,034,651,960,574,976/75,305,952
  6. Step 6: Final answer
    x = 358,997,545.91

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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.