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Finding the Third Proportional to 93,980.25 and 206,653.50

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Solution

The third proportional to 93,980.25 and 206,653.50 is: 454,411.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,980.25 : 206,653.50 = 206,653.50 : x
  2. Step 2: Convert to fraction form
    93,980.25/206,653.50 = 206,653.50/x
  3. Step 3: Cross multiply
    93,980.25x = 206,653.50 × 206,653.50
  4. Step 4: Simplify right side
    93,980.25x = 42,705,669,062.25
  5. Step 5: Solve for x
    x = 42,705,669,062.25/93,980.25
  6. Step 6: Final answer
    x = 454,411.10

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