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Finding the Third Proportional to 111,904,429 and 240,814,971

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Solution

The third proportional to 111,904,429 and 240,814,971 is: 518,226,586.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,904,429 : 240,814,971 = 240,814,971 : x
  2. Step 2: Convert to fraction form
    111,904,429/240,814,971 = 240,814,971/x
  3. Step 3: Cross multiply
    111,904,429x = 240,814,971 × 240,814,971
  4. Step 4: Simplify right side
    111,904,429x = 57,991,850,257,730,840
  5. Step 5: Solve for x
    x = 57,991,850,257,730,840/111,904,429
  6. Step 6: Final answer
    x = 518,226,586.53

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.