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Finding the Third Proportional to 42,330.13 and 90,492.13

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Solution

The third proportional to 42,330.13 and 90,492.13 is: 193,451.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,330.13 : 90,492.13 = 90,492.13 : x
  2. Step 2: Convert to fraction form
    42,330.13/90,492.13 = 90,492.13/x
  3. Step 3: Cross multiply
    42,330.13x = 90,492.13 × 90,492.13
  4. Step 4: Simplify right side
    42,330.13x = 8,188,824,687.02
  5. Step 5: Solve for x
    x = 8,188,824,687.02/42,330.13
  6. Step 6: Final answer
    x = 193,451.46

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.