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Finding the Third Proportional to 97,483.50 and 209,470.50

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Solution

The third proportional to 97,483.50 and 209,470.50 is: 450,105.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,483.50 : 209,470.50 = 209,470.50 : x
  2. Step 2: Convert to fraction form
    97,483.50/209,470.50 = 209,470.50/x
  3. Step 3: Cross multiply
    97,483.50x = 209,470.50 × 209,470.50
  4. Step 4: Simplify right side
    97,483.50x = 43,877,890,370.25
  5. Step 5: Solve for x
    x = 43,877,890,370.25/97,483.50
  6. Step 6: Final answer
    x = 450,105.82

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.