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Finding the Third Proportional to 186,472.13 and 407,100.94

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Solution

The third proportional to 186,472.13 and 407,100.94 is: 888,771.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,472.13 : 407,100.94 = 407,100.94 : x
  2. Step 2: Convert to fraction form
    186,472.13/407,100.94 = 407,100.94/x
  3. Step 3: Cross multiply
    186,472.13x = 407,100.94 × 407,100.94
  4. Step 4: Simplify right side
    186,472.13x = 165,731,173,313.38
  5. Step 5: Solve for x
    x = 165,731,173,313.38/186,472.13
  6. Step 6: Final answer
    x = 888,771.84

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.