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Finding the Third Proportional to 91,011 and 199,014

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Solution

The third proportional to 91,011 and 199,014 is: 435,184.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,011 : 199,014 = 199,014 : x
  2. Step 2: Convert to fraction form
    91,011/199,014 = 199,014/x
  3. Step 3: Cross multiply
    91,011x = 199,014 × 199,014
  4. Step 4: Simplify right side
    91,011x = 39,606,572,196
  5. Step 5: Solve for x
    x = 39,606,572,196/91,011
  6. Step 6: Final answer
    x = 435,184.45

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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.