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Finding the Third Proportional to 107,095.92 and 233,404.03

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Solution

The third proportional to 107,095.92 and 233,404.03 is: 508,678.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,095.92 : 233,404.03 = 233,404.03 : x
  2. Step 2: Convert to fraction form
    107,095.92/233,404.03 = 233,404.03/x
  3. Step 3: Cross multiply
    107,095.92x = 233,404.03 × 233,404.03
  4. Step 4: Simplify right side
    107,095.92x = 54,477,441,803.75
  5. Step 5: Solve for x
    x = 54,477,441,803.75/107,095.92
  6. Step 6: Final answer
    x = 508,678.96

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.