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Finding the Third Proportional to 106,032,532.50 and 164,761,786.13

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Solution

The third proportional to 106,032,532.50 and 164,761,786.13 is: 256,019,973.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,032,532.50 : 164,761,786.13 = 164,761,786.13 : x
  2. Step 2: Convert to fraction form
    106,032,532.50/164,761,786.13 = 164,761,786.13/x
  3. Step 3: Cross multiply
    106,032,532.50x = 164,761,786.13 × 164,761,786.13
  4. Step 4: Simplify right side
    106,032,532.50x = 27,146,446,167,100,244
  5. Step 5: Solve for x
    x = 27,146,446,167,100,244/106,032,532.50
  6. Step 6: Final answer
    x = 256,019,973.56

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.