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Finding the Third Proportional to 90,975,029 and 214,761,180

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Solution

The third proportional to 90,975,029 and 214,761,180 is: 506,978,287.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,975,029 : 214,761,180 = 214,761,180 : x
  2. Step 2: Convert to fraction form
    90,975,029/214,761,180 = 214,761,180/x
  3. Step 3: Cross multiply
    90,975,029x = 214,761,180 × 214,761,180
  4. Step 4: Simplify right side
    90,975,029x = 46,122,364,434,992,400
  5. Step 5: Solve for x
    x = 46,122,364,434,992,400/90,975,029
  6. Step 6: Final answer
    x = 506,978,287.80

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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.