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Finding the Third Proportional to 94,823,970 and 206,877,024

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Solution

The third proportional to 94,823,970 and 206,877,024 is: 451,342,662.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,823,970 : 206,877,024 = 206,877,024 : x
  2. Step 2: Convert to fraction form
    94,823,970/206,877,024 = 206,877,024/x
  3. Step 3: Cross multiply
    94,823,970x = 206,877,024 × 206,877,024
  4. Step 4: Simplify right side
    94,823,970x = 42,798,103,059,096,576
  5. Step 5: Solve for x
    x = 42,798,103,059,096,576/94,823,970
  6. Step 6: Final answer
    x = 451,342,662.19

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