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Finding the Third Proportional to 91,813.50 and 175,319.44

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Solution

The third proportional to 91,813.50 and 175,319.44 is: 334,775.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,813.50 : 175,319.44 = 175,319.44 : x
  2. Step 2: Convert to fraction form
    91,813.50/175,319.44 = 175,319.44/x
  3. Step 3: Cross multiply
    91,813.50x = 175,319.44 × 175,319.44
  4. Step 4: Simplify right side
    91,813.50x = 30,736,905,165.32
  5. Step 5: Solve for x
    x = 30,736,905,165.32/91,813.50
  6. Step 6: Final answer
    x = 334,775.44

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Why These Related Problems?

These problems maintain the same ratio (1.91) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.