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Finding the Third Proportional to 73,117,842.75 and 160,582,402.13

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Solution

The third proportional to 73,117,842.75 and 160,582,402.13 is: 352,673,258.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,117,842.75 : 160,582,402.13 = 160,582,402.13 : x
  2. Step 2: Convert to fraction form
    73,117,842.75/160,582,402.13 = 160,582,402.13/x
  3. Step 3: Cross multiply
    73,117,842.75x = 160,582,402.13 × 160,582,402.13
  4. Step 4: Simplify right side
    73,117,842.75x = 25,786,707,872,235,204
  5. Step 5: Solve for x
    x = 25,786,707,872,235,204/73,117,842.75
  6. Step 6: Final answer
    x = 352,673,258.71

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.