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Finding the Third Proportional to 73,672,836 and 160,415,954

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Solution

The third proportional to 73,672,836 and 160,415,954 is: 349,291,267.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,672,836 : 160,415,954 = 160,415,954 : x
  2. Step 2: Convert to fraction form
    73,672,836/160,415,954 = 160,415,954/x
  3. Step 3: Cross multiply
    73,672,836x = 160,415,954 × 160,415,954
  4. Step 4: Simplify right side
    73,672,836x = 25,733,278,297,730,116
  5. Step 5: Solve for x
    x = 25,733,278,297,730,116/73,672,836
  6. Step 6: Final answer
    x = 349,291,267.92

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Why These Related Problems?

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