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Finding the Third Proportional to 93,886.50 and 202,519.50

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Solution

The third proportional to 93,886.50 and 202,519.50 is: 436,848.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,886.50 : 202,519.50 = 202,519.50 : x
  2. Step 2: Convert to fraction form
    93,886.50/202,519.50 = 202,519.50/x
  3. Step 3: Cross multiply
    93,886.50x = 202,519.50 × 202,519.50
  4. Step 4: Simplify right side
    93,886.50x = 41,014,147,880.25
  5. Step 5: Solve for x
    x = 41,014,147,880.25/93,886.50
  6. Step 6: Final answer
    x = 436,848.19

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.