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Finding the Third Proportional to 38,208,441.50 and 83,923,040.13

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Solution

The third proportional to 38,208,441.50 and 83,923,040.13 is: 184,333,000.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,208,441.50 : 83,923,040.13 = 83,923,040.13 : x
  2. Step 2: Convert to fraction form
    38,208,441.50/83,923,040.13 = 83,923,040.13/x
  3. Step 3: Cross multiply
    38,208,441.50x = 83,923,040.13 × 83,923,040.13
  4. Step 4: Simplify right side
    38,208,441.50x = 7,043,076,663,822,360
  5. Step 5: Solve for x
    x = 7,043,076,663,822,360/38,208,441.50
  6. Step 6: Final answer
    x = 184,333,000.44

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