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Finding the Third Proportional to 109,602.42 and 235,521.84

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Solution

The third proportional to 109,602.42 and 235,521.84 is: 506,106.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,602.42 : 235,521.84 = 235,521.84 : x
  2. Step 2: Convert to fraction form
    109,602.42/235,521.84 = 235,521.84/x
  3. Step 3: Cross multiply
    109,602.42x = 235,521.84 × 235,521.84
  4. Step 4: Simplify right side
    109,602.42x = 55,470,538,883.40
  5. Step 5: Solve for x
    x = 55,470,538,883.40/109,602.42
  6. Step 6: Final answer
    x = 506,106.87

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.