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Finding the Third Proportional to 94,381.13 and 207,412.13

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Solution

The third proportional to 94,381.13 and 207,412.13 is: 455,809.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,381.13 : 207,412.13 = 207,412.13 : x
  2. Step 2: Convert to fraction form
    94,381.13/207,412.13 = 207,412.13/x
  3. Step 3: Cross multiply
    94,381.13x = 207,412.13 × 207,412.13
  4. Step 4: Simplify right side
    94,381.13x = 43,019,789,597.02
  5. Step 5: Solve for x
    x = 43,019,789,597.02/94,381.13
  6. Step 6: Final answer
    x = 455,809.25

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.