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Finding the Third Proportional to 183,985,742.25 and 405,303,574.50

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Solution

The third proportional to 183,985,742.25 and 405,303,574.50 is: 892,846,290.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,985,742.25 : 405,303,574.50 = 405,303,574.50 : x
  2. Step 2: Convert to fraction form
    183,985,742.25/405,303,574.50 = 405,303,574.50/x
  3. Step 3: Cross multiply
    183,985,742.25x = 405,303,574.50 × 405,303,574.50
  4. Step 4: Simplify right side
    183,985,742.25x = 164,270,987,502,477,056
  5. Step 5: Solve for x
    x = 164,270,987,502,477,056/183,985,742.25
  6. Step 6: Final answer
    x = 892,846,290.66

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.