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Finding the Third Proportional to 114,976,158 and 172,421,901

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Solution

The third proportional to 114,976,158 and 172,421,901 is: 258,569,363.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,976,158 : 172,421,901 = 172,421,901 : x
  2. Step 2: Convert to fraction form
    114,976,158/172,421,901 = 172,421,901/x
  3. Step 3: Cross multiply
    114,976,158x = 172,421,901 × 172,421,901
  4. Step 4: Simplify right side
    114,976,158x = 29,729,311,944,453,800
  5. Step 5: Solve for x
    x = 29,729,311,944,453,800/114,976,158
  6. Step 6: Final answer
    x = 258,569,363.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.