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Finding the Third Proportional to 107,967.94 and 235,307.53

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Solution

The third proportional to 107,967.94 and 235,307.53 is: 512,834.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,967.94 : 235,307.53 = 235,307.53 : x
  2. Step 2: Convert to fraction form
    107,967.94/235,307.53 = 235,307.53/x
  3. Step 3: Cross multiply
    107,967.94x = 235,307.53 × 235,307.53
  4. Step 4: Simplify right side
    107,967.94x = 55,369,634,262.97
  5. Step 5: Solve for x
    x = 55,369,634,262.97/107,967.94
  6. Step 6: Final answer
    x = 512,834.05

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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.