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Finding the Third Proportional to 110,071,404 and 237,378,312

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Solution

The third proportional to 110,071,404 and 237,378,312 is: 511,926,449.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,071,404 : 237,378,312 = 237,378,312 : x
  2. Step 2: Convert to fraction form
    110,071,404/237,378,312 = 237,378,312/x
  3. Step 3: Cross multiply
    110,071,404x = 237,378,312 × 237,378,312
  4. Step 4: Simplify right side
    110,071,404x = 56,348,463,007,969,344
  5. Step 5: Solve for x
    x = 56,348,463,007,969,344/110,071,404
  6. Step 6: Final answer
    x = 511,926,449.20

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.