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Finding the Third Proportional to 111,527,136 and 241,582,536

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Solution

The third proportional to 111,527,136 and 241,582,536 is: 523,299,743.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,527,136 : 241,582,536 = 241,582,536 : x
  2. Step 2: Convert to fraction form
    111,527,136/241,582,536 = 241,582,536/x
  3. Step 3: Cross multiply
    111,527,136x = 241,582,536 × 241,582,536
  4. Step 4: Simplify right side
    111,527,136x = 58,362,121,700,191,296
  5. Step 5: Solve for x
    x = 58,362,121,700,191,296/111,527,136
  6. Step 6: Final answer
    x = 523,299,743.84

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.