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Finding the Third Proportional to 94,823,968 and 206,877,022

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Solution

The third proportional to 94,823,968 and 206,877,022 is: 451,342,662.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,823,968 : 206,877,022 = 206,877,022 : x
  2. Step 2: Convert to fraction form
    94,823,968/206,877,022 = 206,877,022/x
  3. Step 3: Cross multiply
    94,823,968x = 206,877,022 × 206,877,022
  4. Step 4: Simplify right side
    94,823,968x = 42,798,102,231,588,480
  5. Step 5: Solve for x
    x = 42,798,102,231,588,480/94,823,968
  6. Step 6: Final answer
    x = 451,342,662.98

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.