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Finding the Third Proportional to 93,897 and 201,153

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Solution

The third proportional to 93,897 and 201,153 is: 430,924.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,897 : 201,153 = 201,153 : x
  2. Step 2: Convert to fraction form
    93,897/201,153 = 201,153/x
  3. Step 3: Cross multiply
    93,897x = 201,153 × 201,153
  4. Step 4: Simplify right side
    93,897x = 40,462,529,409
  5. Step 5: Solve for x
    x = 40,462,529,409/93,897
  6. Step 6: Final answer
    x = 430,924.62

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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.