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Finding the Third Proportional to 108,900.07 and 233,559.07

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Solution

The third proportional to 108,900.07 and 233,559.07 is: 500,916.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,900.07 : 233,559.07 = 233,559.07 : x
  2. Step 2: Convert to fraction form
    108,900.07/233,559.07 = 233,559.07/x
  3. Step 3: Cross multiply
    108,900.07x = 233,559.07 × 233,559.07
  4. Step 4: Simplify right side
    108,900.07x = 54,549,839,325.24
  5. Step 5: Solve for x
    x = 54,549,839,325.24/108,900.07
  6. Step 6: Final answer
    x = 500,916.47

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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.