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Finding the Third Proportional to 44,578.50 and 97,155

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Solution

The third proportional to 44,578.50 and 97,155 is: 211,740.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,578.50 : 97,155 = 97,155 : x
  2. Step 2: Convert to fraction form
    44,578.50/97,155 = 97,155/x
  3. Step 3: Cross multiply
    44,578.50x = 97,155 × 97,155
  4. Step 4: Simplify right side
    44,578.50x = 9,439,094,025
  5. Step 5: Solve for x
    x = 9,439,094,025/44,578.50
  6. Step 6: Final answer
    x = 211,740.95

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.