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Finding the Third Proportional to 245,172,864 and 365,633,200

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Solution

The third proportional to 245,172,864 and 365,633,200 is: 545,279,093.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,172,864 : 365,633,200 = 365,633,200 : x
  2. Step 2: Convert to fraction form
    245,172,864/365,633,200 = 365,633,200/x
  3. Step 3: Cross multiply
    245,172,864x = 365,633,200 × 365,633,200
  4. Step 4: Simplify right side
    245,172,864x = 133,687,636,942,240,000
  5. Step 5: Solve for x
    x = 133,687,636,942,240,000/245,172,864
  6. Step 6: Final answer
    x = 545,279,093.13

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.