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Finding the Third Proportional to 109,211.63 and 233,608.13

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Solution

The third proportional to 109,211.63 and 233,608.13 is: 499,697.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,211.63 : 233,608.13 = 233,608.13 : x
  2. Step 2: Convert to fraction form
    109,211.63/233,608.13 = 233,608.13/x
  3. Step 3: Cross multiply
    109,211.63x = 233,608.13 × 233,608.13
  4. Step 4: Simplify right side
    109,211.63x = 54,572,756,066.02
  5. Step 5: Solve for x
    x = 54,572,756,066.02/109,211.63
  6. Step 6: Final answer
    x = 499,697.32

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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.