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Finding the Third Proportional to 74,344,733 and 161,043,266.50

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Solution

The third proportional to 74,344,733 and 161,043,266.50 is: 348,846,954.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,344,733 : 161,043,266.50 = 161,043,266.50 : x
  2. Step 2: Convert to fraction form
    74,344,733/161,043,266.50 = 161,043,266.50/x
  3. Step 3: Cross multiply
    74,344,733x = 161,043,266.50 × 161,043,266.50
  4. Step 4: Simplify right side
    74,344,733x = 25,934,933,684,990,024
  5. Step 5: Solve for x
    x = 25,934,933,684,990,024/74,344,733
  6. Step 6: Final answer
    x = 348,846,954.43

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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.