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Finding the Third Proportional to 226,163,895 and 492,375,768

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Solution

The third proportional to 226,163,895 and 492,375,768 is: 1,071,938,988.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,163,895 : 492,375,768 = 492,375,768 : x
  2. Step 2: Convert to fraction form
    226,163,895/492,375,768 = 492,375,768/x
  3. Step 3: Cross multiply
    226,163,895x = 492,375,768 × 492,375,768
  4. Step 4: Simplify right side
    226,163,895x = 242,433,896,913,589,824
  5. Step 5: Solve for x
    x = 242,433,896,913,589,824/226,163,895
  6. Step 6: Final answer
    x = 1,071,938,988.82

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