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Finding the Third Proportional to 96,595.03 and 207,473.06

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Solution

The third proportional to 96,595.03 and 207,473.06 is: 445,624.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,595.03 : 207,473.06 = 207,473.06 : x
  2. Step 2: Convert to fraction form
    96,595.03/207,473.06 = 207,473.06/x
  3. Step 3: Cross multiply
    96,595.03x = 207,473.06 × 207,473.06
  4. Step 4: Simplify right side
    96,595.03x = 43,045,071,663.13
  5. Step 5: Solve for x
    x = 43,045,071,663.13/96,595.03
  6. Step 6: Final answer
    x = 445,624.08

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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.