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Finding the Third Proportional to 38,869,144 and 85,060,400

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Solution

The third proportional to 38,869,144 and 85,060,400 is: 186,144,352.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,869,144 : 85,060,400 = 85,060,400 : x
  2. Step 2: Convert to fraction form
    38,869,144/85,060,400 = 85,060,400/x
  3. Step 3: Cross multiply
    38,869,144x = 85,060,400 × 85,060,400
  4. Step 4: Simplify right side
    38,869,144x = 7,235,271,648,160,000
  5. Step 5: Solve for x
    x = 7,235,271,648,160,000/38,869,144
  6. Step 6: Final answer
    x = 186,144,352.66

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.