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Finding the Third Proportional to 72,250,092 and 102,993,739.50

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Solution

The third proportional to 72,250,092 and 102,993,739.50 is: 146,819,333.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,250,092 : 102,993,739.50 = 102,993,739.50 : x
  2. Step 2: Convert to fraction form
    72,250,092/102,993,739.50 = 102,993,739.50/x
  3. Step 3: Cross multiply
    72,250,092x = 102,993,739.50 × 102,993,739.50
  4. Step 4: Simplify right side
    72,250,092x = 10,607,710,376,193,860
  5. Step 5: Solve for x
    x = 10,607,710,376,193,860/72,250,092
  6. Step 6: Final answer
    x = 146,819,333.82

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.