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Finding the Third Proportional to 106,709,816 and 229,597,600

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Solution

The third proportional to 106,709,816 and 229,597,600 is: 494,003,831.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,709,816 : 229,597,600 = 229,597,600 : x
  2. Step 2: Convert to fraction form
    106,709,816/229,597,600 = 229,597,600/x
  3. Step 3: Cross multiply
    106,709,816x = 229,597,600 × 229,597,600
  4. Step 4: Simplify right side
    106,709,816x = 52,715,057,925,760,000
  5. Step 5: Solve for x
    x = 52,715,057,925,760,000/106,709,816
  6. Step 6: Final answer
    x = 494,003,831.15

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.