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Finding the Third Proportional to 91,047 and 199,590

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Solution

The third proportional to 91,047 and 199,590 is: 437,534.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,047 : 199,590 = 199,590 : x
  2. Step 2: Convert to fraction form
    91,047/199,590 = 199,590/x
  3. Step 3: Cross multiply
    91,047x = 199,590 × 199,590
  4. Step 4: Simplify right side
    91,047x = 39,836,168,100
  5. Step 5: Solve for x
    x = 39,836,168,100/91,047
  6. Step 6: Final answer
    x = 437,534.11

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.