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Finding the Third Proportional to 45,415.69 and 70,492.78

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Solution

The third proportional to 45,415.69 and 70,492.78 is: 109,416.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,415.69 : 70,492.78 = 70,492.78 : x
  2. Step 2: Convert to fraction form
    45,415.69/70,492.78 = 70,492.78/x
  3. Step 3: Cross multiply
    45,415.69x = 70,492.78 × 70,492.78
  4. Step 4: Simplify right side
    45,415.69x = 4,969,232,208.36
  5. Step 5: Solve for x
    x = 4,969,232,208.36/45,415.69
  6. Step 6: Final answer
    x = 109,416.65

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.