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Finding the Third Proportional to 93,411 and 200,427.75

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Solution

The third proportional to 93,411 and 200,427.75 is: 430,048.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,411 : 200,427.75 = 200,427.75 : x
  2. Step 2: Convert to fraction form
    93,411/200,427.75 = 200,427.75/x
  3. Step 3: Cross multiply
    93,411x = 200,427.75 × 200,427.75
  4. Step 4: Simplify right side
    93,411x = 40,171,282,970.06
  5. Step 5: Solve for x
    x = 40,171,282,970.06/93,411
  6. Step 6: Final answer
    x = 430,048.74

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.