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Finding the Third Proportional to 45,813.09 and 99,007.31

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Solution

The third proportional to 45,813.09 and 99,007.31 is: 213,966.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,813.09 : 99,007.31 = 99,007.31 : x
  2. Step 2: Convert to fraction form
    45,813.09/99,007.31 = 99,007.31/x
  3. Step 3: Cross multiply
    45,813.09x = 99,007.31 × 99,007.31
  4. Step 4: Simplify right side
    45,813.09x = 9,802,447,928.47
  5. Step 5: Solve for x
    x = 9,802,447,928.47/45,813.09
  6. Step 6: Final answer
    x = 213,966.08

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.