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Finding the Third Proportional to 73,672,762.50 and 160,415,813.25

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Solution

The third proportional to 73,672,762.50 and 160,415,813.25 is: 349,291,003.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,672,762.50 : 160,415,813.25 = 160,415,813.25 : x
  2. Step 2: Convert to fraction form
    73,672,762.50/160,415,813.25 = 160,415,813.25/x
  3. Step 3: Cross multiply
    73,672,762.50x = 160,415,813.25 × 160,415,813.25
  4. Step 4: Simplify right side
    73,672,762.50x = 25,733,233,140,658,876
  5. Step 5: Solve for x
    x = 25,733,233,140,658,876/73,672,762.50
  6. Step 6: Final answer
    x = 349,291,003.45

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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.