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Finding the Third Proportional to 106,429,077 and 229,470,606

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Solution

The third proportional to 106,429,077 and 229,470,606 is: 494,759,143.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,429,077 : 229,470,606 = 229,470,606 : x
  2. Step 2: Convert to fraction form
    106,429,077/229,470,606 = 229,470,606/x
  3. Step 3: Cross multiply
    106,429,077x = 229,470,606 × 229,470,606
  4. Step 4: Simplify right side
    106,429,077x = 52,656,759,018,007,232
  5. Step 5: Solve for x
    x = 52,656,759,018,007,232/106,429,077
  6. Step 6: Final answer
    x = 494,759,143.86

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.