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Finding the Third Proportional to 93,804.75 and 199,273.50

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Solution

The third proportional to 93,804.75 and 199,273.50 is: 423,325.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,804.75 : 199,273.50 = 199,273.50 : x
  2. Step 2: Convert to fraction form
    93,804.75/199,273.50 = 199,273.50/x
  3. Step 3: Cross multiply
    93,804.75x = 199,273.50 × 199,273.50
  4. Step 4: Simplify right side
    93,804.75x = 39,709,927,802.25
  5. Step 5: Solve for x
    x = 39,709,927,802.25/93,804.75
  6. Step 6: Final answer
    x = 423,325.34

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.