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Finding the Third Proportional to 109,360 and 158,045.50

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Solution

The third proportional to 109,360 and 158,045.50 is: 228,405.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,360 : 158,045.50 = 158,045.50 : x
  2. Step 2: Convert to fraction form
    109,360/158,045.50 = 158,045.50/x
  3. Step 3: Cross multiply
    109,360x = 158,045.50 × 158,045.50
  4. Step 4: Simplify right side
    109,360x = 24,978,380,070.25
  5. Step 5: Solve for x
    x = 24,978,380,070.25/109,360
  6. Step 6: Final answer
    x = 228,405.08

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These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.