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Finding the Third Proportional to 106,889,604.75 and 165,243,017.25

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Solution

The third proportional to 106,889,604.75 and 165,243,017.25 is: 255,452,855.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,889,604.75 : 165,243,017.25 = 165,243,017.25 : x
  2. Step 2: Convert to fraction form
    106,889,604.75/165,243,017.25 = 165,243,017.25/x
  3. Step 3: Cross multiply
    106,889,604.75x = 165,243,017.25 × 165,243,017.25
  4. Step 4: Simplify right side
    106,889,604.75x = 27,305,254,749,883,796
  5. Step 5: Solve for x
    x = 27,305,254,749,883,796/106,889,604.75
  6. Step 6: Final answer
    x = 255,452,855.44

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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.