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Finding the Third Proportional to 99,913.25 and 209,063.50

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Solution

The third proportional to 99,913.25 and 209,063.50 is: 437,454.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,913.25 : 209,063.50 = 209,063.50 : x
  2. Step 2: Convert to fraction form
    99,913.25/209,063.50 = 209,063.50/x
  3. Step 3: Cross multiply
    99,913.25x = 209,063.50 × 209,063.50
  4. Step 4: Simplify right side
    99,913.25x = 43,707,547,032.25
  5. Step 5: Solve for x
    x = 43,707,547,032.25/99,913.25
  6. Step 6: Final answer
    x = 437,454.96

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These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.