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Finding the Third Proportional to 97,085.46 and 200,911.01

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Solution

The third proportional to 97,085.46 and 200,911.01 is: 415,770.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,085.46 : 200,911.01 = 200,911.01 : x
  2. Step 2: Convert to fraction form
    97,085.46/200,911.01 = 200,911.01/x
  3. Step 3: Cross multiply
    97,085.46x = 200,911.01 × 200,911.01
  4. Step 4: Simplify right side
    97,085.46x = 40,365,233,060.23
  5. Step 5: Solve for x
    x = 40,365,233,060.23/97,085.46
  6. Step 6: Final answer
    x = 415,770.11

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.