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Finding the Third Proportional to 38,191,945.50 and 78,148,800

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Solution

The third proportional to 38,191,945.50 and 78,148,800 is: 159,908,977.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,191,945.50 : 78,148,800 = 78,148,800 : x
  2. Step 2: Convert to fraction form
    38,191,945.50/78,148,800 = 78,148,800/x
  3. Step 3: Cross multiply
    38,191,945.50x = 78,148,800 × 78,148,800
  4. Step 4: Simplify right side
    38,191,945.50x = 6,107,234,941,440,000
  5. Step 5: Solve for x
    x = 6,107,234,941,440,000/38,191,945.50
  6. Step 6: Final answer
    x = 159,908,977.18

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.