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Finding the Third Proportional to 99,807,668 and 218,400,304

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Solution

The third proportional to 99,807,668 and 218,400,304 is: 477,906,094.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,807,668 : 218,400,304 = 218,400,304 : x
  2. Step 2: Convert to fraction form
    99,807,668/218,400,304 = 218,400,304/x
  3. Step 3: Cross multiply
    99,807,668x = 218,400,304 × 218,400,304
  4. Step 4: Simplify right side
    99,807,668x = 47,698,692,787,292,416
  5. Step 5: Solve for x
    x = 47,698,692,787,292,416/99,807,668
  6. Step 6: Final answer
    x = 477,906,094.22

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.