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Finding the Third Proportional to 258,408,747 and 397,192,927.50

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Solution

The third proportional to 258,408,747 and 397,192,927.50 is: 610,514,247.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,408,747 : 397,192,927.50 = 397,192,927.50 : x
  2. Step 2: Convert to fraction form
    258,408,747/397,192,927.50 = 397,192,927.50/x
  3. Step 3: Cross multiply
    258,408,747x = 397,192,927.50 × 397,192,927.50
  4. Step 4: Simplify right side
    258,408,747x = 157,762,221,656,020,256
  5. Step 5: Solve for x
    x = 157,762,221,656,020,256/258,408,747
  6. Step 6: Final answer
    x = 610,514,247.24

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.