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Finding the Third Proportional to 93,102 and 200,964

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Solution

The third proportional to 93,102 and 200,964 is: 433,787.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,102 : 200,964 = 200,964 : x
  2. Step 2: Convert to fraction form
    93,102/200,964 = 200,964/x
  3. Step 3: Cross multiply
    93,102x = 200,964 × 200,964
  4. Step 4: Simplify right side
    93,102x = 40,386,529,296
  5. Step 5: Solve for x
    x = 40,386,529,296/93,102
  6. Step 6: Final answer
    x = 433,787.99

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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.