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Finding the Third Proportional to 223,002,072 and 480,166,056

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Solution

The third proportional to 223,002,072 and 480,166,056 is: 1,033,889,233.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,002,072 : 480,166,056 = 480,166,056 : x
  2. Step 2: Convert to fraction form
    223,002,072/480,166,056 = 480,166,056/x
  3. Step 3: Cross multiply
    223,002,072x = 480,166,056 × 480,166,056
  4. Step 4: Simplify right side
    223,002,072x = 230,559,441,334,595,136
  5. Step 5: Solve for x
    x = 230,559,441,334,595,136/223,002,072
  6. Step 6: Final answer
    x = 1,033,889,233.70

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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.