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Finding the Third Proportional to 93,088.50 and 200,937

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Solution

The third proportional to 93,088.50 and 200,937 is: 433,734.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,088.50 : 200,937 = 200,937 : x
  2. Step 2: Convert to fraction form
    93,088.50/200,937 = 200,937/x
  3. Step 3: Cross multiply
    93,088.50x = 200,937 × 200,937
  4. Step 4: Simplify right side
    93,088.50x = 40,375,677,969
  5. Step 5: Solve for x
    x = 40,375,677,969/93,088.50
  6. Step 6: Final answer
    x = 433,734.33

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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.