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Finding the Third Proportional to 93,952,064 and 206,379,904

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Solution

The third proportional to 93,952,064 and 206,379,904 is: 453,344,641.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,952,064 : 206,379,904 = 206,379,904 : x
  2. Step 2: Convert to fraction form
    93,952,064/206,379,904 = 206,379,904/x
  3. Step 3: Cross multiply
    93,952,064x = 206,379,904 × 206,379,904
  4. Step 4: Simplify right side
    93,952,064x = 42,592,664,775,049,216
  5. Step 5: Solve for x
    x = 42,592,664,775,049,216/93,952,064
  6. Step 6: Final answer
    x = 453,344,641.53

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.