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Finding the Third Proportional to 110,471,337 and 165,706,984.50

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Solution

The third proportional to 110,471,337 and 165,706,984.50 is: 248,560,445.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,471,337 : 165,706,984.50 = 165,706,984.50 : x
  2. Step 2: Convert to fraction form
    110,471,337/165,706,984.50 = 165,706,984.50/x
  3. Step 3: Cross multiply
    110,471,337x = 165,706,984.50 × 165,706,984.50
  4. Step 4: Simplify right side
    110,471,337x = 27,458,804,712,083,240
  5. Step 5: Solve for x
    x = 27,458,804,712,083,240/110,471,337
  6. Step 6: Final answer
    x = 248,560,445.25

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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.