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Finding the Third Proportional to 88,047 and 190,444.50

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Solution

The third proportional to 88,047 and 190,444.50 is: 411,928.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,047 : 190,444.50 = 190,444.50 : x
  2. Step 2: Convert to fraction form
    88,047/190,444.50 = 190,444.50/x
  3. Step 3: Cross multiply
    88,047x = 190,444.50 × 190,444.50
  4. Step 4: Simplify right side
    88,047x = 36,269,107,580.25
  5. Step 5: Solve for x
    x = 36,269,107,580.25/88,047
  6. Step 6: Final answer
    x = 411,928.94

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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.