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Finding the Third Proportional to 73,672,821 and 160,415,923.50

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Solution

The third proportional to 73,672,821 and 160,415,923.50 is: 349,291,206.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,672,821 : 160,415,923.50 = 160,415,923.50 : x
  2. Step 2: Convert to fraction form
    73,672,821/160,415,923.50 = 160,415,923.50/x
  3. Step 3: Cross multiply
    73,672,821x = 160,415,923.50 × 160,415,923.50
  4. Step 4: Simplify right side
    73,672,821x = 25,733,268,512,357,852
  5. Step 5: Solve for x
    x = 25,733,268,512,357,852/73,672,821
  6. Step 6: Final answer
    x = 349,291,206.22

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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.