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Finding the Third Proportional to 100,364.70 and 147,774.69

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Solution

The third proportional to 100,364.70 and 147,774.69 is: 217,580.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,364.70 : 147,774.69 = 147,774.69 : x
  2. Step 2: Convert to fraction form
    100,364.70/147,774.69 = 147,774.69/x
  3. Step 3: Cross multiply
    100,364.70x = 147,774.69 × 147,774.69
  4. Step 4: Simplify right side
    100,364.70x = 21,837,359,420.21
  5. Step 5: Solve for x
    x = 21,837,359,420.21/100,364.70
  6. Step 6: Final answer
    x = 217,580.09

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.