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Finding the Third Proportional to 209,463,159 and 440,633,022

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Solution

The third proportional to 209,463,159 and 440,633,022 is: 926,928,921.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,463,159 : 440,633,022 = 440,633,022 : x
  2. Step 2: Convert to fraction form
    209,463,159/440,633,022 = 440,633,022/x
  3. Step 3: Cross multiply
    209,463,159x = 440,633,022 × 440,633,022
  4. Step 4: Simplify right side
    209,463,159x = 194,157,460,076,852,480
  5. Step 5: Solve for x
    x = 194,157,460,076,852,480/209,463,159
  6. Step 6: Final answer
    x = 926,928,921.55

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.