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Finding the Third Proportional to 106,525,530 and 229,230,486

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Solution

The third proportional to 106,525,530 and 229,230,486 is: 493,277,205.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,525,530 : 229,230,486 = 229,230,486 : x
  2. Step 2: Convert to fraction form
    106,525,530/229,230,486 = 229,230,486/x
  3. Step 3: Cross multiply
    106,525,530x = 229,230,486 × 229,230,486
  4. Step 4: Simplify right side
    106,525,530x = 52,546,615,711,796,192
  5. Step 5: Solve for x
    x = 52,546,615,711,796,192/106,525,530
  6. Step 6: Final answer
    x = 493,277,205.12

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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.