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Finding the Third Proportional to 92,409 and 197,938.50

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Solution

The third proportional to 92,409 and 197,938.50 is: 423,980.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,409 : 197,938.50 = 197,938.50 : x
  2. Step 2: Convert to fraction form
    92,409/197,938.50 = 197,938.50/x
  3. Step 3: Cross multiply
    92,409x = 197,938.50 × 197,938.50
  4. Step 4: Simplify right side
    92,409x = 39,179,649,782.25
  5. Step 5: Solve for x
    x = 39,179,649,782.25/92,409
  6. Step 6: Final answer
    x = 423,980.89

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.