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Finding the Third Proportional to 86,352,124 and 187,053,176

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Solution

The third proportional to 86,352,124 and 187,053,176 is: 405,188,535.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,352,124 : 187,053,176 = 187,053,176 : x
  2. Step 2: Convert to fraction form
    86,352,124/187,053,176 = 187,053,176/x
  3. Step 3: Cross multiply
    86,352,124x = 187,053,176 × 187,053,176
  4. Step 4: Simplify right side
    86,352,124x = 34,988,890,651,686,976
  5. Step 5: Solve for x
    x = 34,988,890,651,686,976/86,352,124
  6. Step 6: Final answer
    x = 405,188,535.39

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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.