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Finding the Third Proportional to 92,403.75 and 197,929.50

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Solution

The third proportional to 92,403.75 and 197,929.50 is: 423,966.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,403.75 : 197,929.50 = 197,929.50 : x
  2. Step 2: Convert to fraction form
    92,403.75/197,929.50 = 197,929.50/x
  3. Step 3: Cross multiply
    92,403.75x = 197,929.50 × 197,929.50
  4. Step 4: Simplify right side
    92,403.75x = 39,176,086,970.25
  5. Step 5: Solve for x
    x = 39,176,086,970.25/92,403.75
  6. Step 6: Final answer
    x = 423,966.42

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