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Finding the Third Proportional to 230,077,011 and 323,618,683.50

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Solution

The third proportional to 230,077,011 and 323,618,683.50 is: 455,191,293.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,077,011 : 323,618,683.50 = 323,618,683.50 : x
  2. Step 2: Convert to fraction form
    230,077,011/323,618,683.50 = 323,618,683.50/x
  3. Step 3: Cross multiply
    230,077,011x = 323,618,683.50 × 323,618,683.50
  4. Step 4: Simplify right side
    230,077,011x = 104,729,052,310,273,168
  5. Step 5: Solve for x
    x = 104,729,052,310,273,168/230,077,011
  6. Step 6: Final answer
    x = 455,191,293.80

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.