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Finding the Third Proportional to 105,492.80 and 150,746.91

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Solution

The third proportional to 105,492.80 and 150,746.91 is: 215,414.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,492.80 : 150,746.91 = 150,746.91 : x
  2. Step 2: Convert to fraction form
    105,492.80/150,746.91 = 150,746.91/x
  3. Step 3: Cross multiply
    105,492.80x = 150,746.91 × 150,746.91
  4. Step 4: Simplify right side
    105,492.80x = 22,724,629,743.95
  5. Step 5: Solve for x
    x = 22,724,629,743.95/105,492.80
  6. Step 6: Final answer
    x = 215,414.04

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.