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Finding the Third Proportional to 114,976,164 and 172,421,910

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Solution

The third proportional to 114,976,164 and 172,421,910 is: 258,569,376.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,976,164 : 172,421,910 = 172,421,910 : x
  2. Step 2: Convert to fraction form
    114,976,164/172,421,910 = 172,421,910/x
  3. Step 3: Cross multiply
    114,976,164x = 172,421,910 × 172,421,910
  4. Step 4: Simplify right side
    114,976,164x = 29,729,315,048,048,100
  5. Step 5: Solve for x
    x = 29,729,315,048,048,100/114,976,164
  6. Step 6: Final answer
    x = 258,569,376.59

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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.