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Finding the Third Proportional to 72,250,095 and 102,993,744

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Solution

The third proportional to 72,250,095 and 102,993,744 is: 146,819,340.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,250,095 : 102,993,744 = 102,993,744 : x
  2. Step 2: Convert to fraction form
    72,250,095/102,993,744 = 102,993,744/x
  3. Step 3: Cross multiply
    72,250,095x = 102,993,744 × 102,993,744
  4. Step 4: Simplify right side
    72,250,095x = 10,607,711,303,137,536
  5. Step 5: Solve for x
    x = 10,607,711,303,137,536/72,250,095
  6. Step 6: Final answer
    x = 146,819,340.56

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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.