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Finding the Third Proportional to 106,007,756 and 229,036,166

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Solution

The third proportional to 106,007,756 and 229,036,166 is: 494,846,484.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,007,756 : 229,036,166 = 229,036,166 : x
  2. Step 2: Convert to fraction form
    106,007,756/229,036,166 = 229,036,166/x
  3. Step 3: Cross multiply
    106,007,756x = 229,036,166 × 229,036,166
  4. Step 4: Simplify right side
    106,007,756x = 52,457,565,335,979,552
  5. Step 5: Solve for x
    x = 52,457,565,335,979,552/106,007,756
  6. Step 6: Final answer
    x = 494,846,484.02

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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.