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Finding the Third Proportional to 110,190,464 and 240,221,420

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Solution

The third proportional to 110,190,464 and 240,221,420 is: 523,696,230.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,190,464 : 240,221,420 = 240,221,420 : x
  2. Step 2: Convert to fraction form
    110,190,464/240,221,420 = 240,221,420/x
  3. Step 3: Cross multiply
    110,190,464x = 240,221,420 × 240,221,420
  4. Step 4: Simplify right side
    110,190,464x = 57,706,330,626,816,400
  5. Step 5: Solve for x
    x = 57,706,330,626,816,400/110,190,464
  6. Step 6: Final answer
    x = 523,696,230.44

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.