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Finding the Third Proportional to 93,907.50 and 221,457.50

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Solution

The third proportional to 93,907.50 and 221,457.50 is: 522,252.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,907.50 : 221,457.50 = 221,457.50 : x
  2. Step 2: Convert to fraction form
    93,907.50/221,457.50 = 221,457.50/x
  3. Step 3: Cross multiply
    93,907.50x = 221,457.50 × 221,457.50
  4. Step 4: Simplify right side
    93,907.50x = 49,043,424,306.25
  5. Step 5: Solve for x
    x = 49,043,424,306.25/93,907.50
  6. Step 6: Final answer
    x = 522,252.48

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.