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Finding the Third Proportional to 182,160,616 and 281,753,056

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Solution

The third proportional to 182,160,616 and 281,753,056 is: 435,795,543.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,160,616 : 281,753,056 = 281,753,056 : x
  2. Step 2: Convert to fraction form
    182,160,616/281,753,056 = 281,753,056/x
  3. Step 3: Cross multiply
    182,160,616x = 281,753,056 × 281,753,056
  4. Step 4: Simplify right side
    182,160,616x = 79,384,784,565,339,136
  5. Step 5: Solve for x
    x = 79,384,784,565,339,136/182,160,616
  6. Step 6: Final answer
    x = 435,795,543.01

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.