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Finding the Third Proportional to 230,076,949.50 and 323,618,591.25

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Solution

The third proportional to 230,076,949.50 and 323,618,591.25 is: 455,191,155.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,076,949.50 : 323,618,591.25 = 323,618,591.25 : x
  2. Step 2: Convert to fraction form
    230,076,949.50/323,618,591.25 = 323,618,591.25/x
  3. Step 3: Cross multiply
    230,076,949.50x = 323,618,591.25 × 323,618,591.25
  4. Step 4: Simplify right side
    230,076,949.50x = 104,728,992,602,634,576
  5. Step 5: Solve for x
    x = 104,728,992,602,634,576/230,076,949.50
  6. Step 6: Final answer
    x = 455,191,155.96

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