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Finding the Third Proportional to 75,711,089.81 and 164,343,608.44

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Solution

The third proportional to 75,711,089.81 and 164,343,608.44 is: 356,735,343.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,711,089.81 : 164,343,608.44 = 164,343,608.44 : x
  2. Step 2: Convert to fraction form
    75,711,089.81/164,343,608.44 = 164,343,608.44/x
  3. Step 3: Cross multiply
    75,711,089.81x = 164,343,608.44 × 164,343,608.44
  4. Step 4: Simplify right side
    75,711,089.81x = 27,008,821,634,258,320
  5. Step 5: Solve for x
    x = 27,008,821,634,258,320/75,711,089.81
  6. Step 6: Final answer
    x = 356,735,343.54

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.