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Finding the Third Proportional to 88,477.50 and 191,034

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Solution

The third proportional to 88,477.50 and 191,034 is: 412,466.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,477.50 : 191,034 = 191,034 : x
  2. Step 2: Convert to fraction form
    88,477.50/191,034 = 191,034/x
  3. Step 3: Cross multiply
    88,477.50x = 191,034 × 191,034
  4. Step 4: Simplify right side
    88,477.50x = 36,493,989,156
  5. Step 5: Solve for x
    x = 36,493,989,156/88,477.50
  6. Step 6: Final answer
    x = 412,466.32

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.