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Finding the Third Proportional to 90,975,024 and 214,761,168

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Solution

The third proportional to 90,975,024 and 214,761,168 is: 506,978,259.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,975,024 : 214,761,168 = 214,761,168 : x
  2. Step 2: Convert to fraction form
    90,975,024/214,761,168 = 214,761,168/x
  3. Step 3: Cross multiply
    90,975,024x = 214,761,168 × 214,761,168
  4. Step 4: Simplify right side
    90,975,024x = 46,122,359,280,724,224
  5. Step 5: Solve for x
    x = 46,122,359,280,724,224/90,975,024
  6. Step 6: Final answer
    x = 506,978,259.01

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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.