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Finding the Third Proportional to 103,964,271,920 and 227,859,175,952

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Solution

The third proportional to 103,964,271,920 and 227,859,175,952 is: 499,400,448,891.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,964,271,920 : 227,859,175,952 = 227,859,175,952 : x
  2. Step 2: Convert to fraction form
    103,964,271,920/227,859,175,952 = 227,859,175,952/x
  3. Step 3: Cross multiply
    103,964,271,920x = 227,859,175,952 × 227,859,175,952
  4. Step 4: Simplify right side
    103,964,271,920x = 51,919,804,065,524,494,630,912
  5. Step 5: Solve for x
    x = 51,919,804,065,524,494,630,912/103,964,271,920
  6. Step 6: Final answer
    x = 499,400,448,891.49

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