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Finding the Third Proportional to 93,645 and 200,688.75

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Solution

The third proportional to 93,645 and 200,688.75 is: 430,092.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,645 : 200,688.75 = 200,688.75 : x
  2. Step 2: Convert to fraction form
    93,645/200,688.75 = 200,688.75/x
  3. Step 3: Cross multiply
    93,645x = 200,688.75 × 200,688.75
  4. Step 4: Simplify right side
    93,645x = 40,275,974,376.56
  5. Step 5: Solve for x
    x = 40,275,974,376.56/93,645
  6. Step 6: Final answer
    x = 430,092.10

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.