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Finding the Third Proportional to 90,975,026 and 214,761,173

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Solution

The third proportional to 90,975,026 and 214,761,173 is: 506,978,271.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,975,026 : 214,761,173 = 214,761,173 : x
  2. Step 2: Convert to fraction form
    90,975,026/214,761,173 = 214,761,173/x
  3. Step 3: Cross multiply
    90,975,026x = 214,761,173 × 214,761,173
  4. Step 4: Simplify right side
    90,975,026x = 46,122,361,428,335,928
  5. Step 5: Solve for x
    x = 46,122,361,428,335,928/90,975,026
  6. Step 6: Final answer
    x = 506,978,271.47

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.