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Finding the Third Proportional to 110,471,330.25 and 165,706,975.13

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Solution

The third proportional to 110,471,330.25 and 165,706,975.13 is: 248,560,432.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,471,330.25 : 165,706,975.13 = 165,706,975.13 : x
  2. Step 2: Convert to fraction form
    110,471,330.25/165,706,975.13 = 165,706,975.13/x
  3. Step 3: Cross multiply
    110,471,330.25x = 165,706,975.13 × 165,706,975.13
  4. Step 4: Simplify right side
    110,471,330.25x = 27,458,801,605,077,368
  5. Step 5: Solve for x
    x = 27,458,801,605,077,368/110,471,330.25
  6. Step 6: Final answer
    x = 248,560,432.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.