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Finding the Third Proportional to 93,133,933.50 and 195,921,285.50

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Solution

The third proportional to 93,133,933.50 and 195,921,285.50 is: 412,149,993.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,133,933.50 : 195,921,285.50 = 195,921,285.50 : x
  2. Step 2: Convert to fraction form
    93,133,933.50/195,921,285.50 = 195,921,285.50/x
  3. Step 3: Cross multiply
    93,133,933.50x = 195,921,285.50 × 195,921,285.50
  4. Step 4: Simplify right side
    93,133,933.50x = 38,385,150,111,972,512
  5. Step 5: Solve for x
    x = 38,385,150,111,972,512/93,133,933.50
  6. Step 6: Final answer
    x = 412,149,993.77

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.