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Finding the Third Proportional to 111,305,101.50 and 146,365,710.75

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Solution

The third proportional to 111,305,101.50 and 146,365,710.75 is: 192,470,255.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,305,101.50 : 146,365,710.75 = 146,365,710.75 : x
  2. Step 2: Convert to fraction form
    111,305,101.50/146,365,710.75 = 146,365,710.75/x
  3. Step 3: Cross multiply
    111,305,101.50x = 146,365,710.75 × 146,365,710.75
  4. Step 4: Simplify right side
    111,305,101.50x = 21,422,921,283,352,664
  5. Step 5: Solve for x
    x = 21,422,921,283,352,664/111,305,101.50
  6. Step 6: Final answer
    x = 192,470,255.13

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.