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Finding the Third Proportional to 256,652,108 and 554,213,146

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Solution

The third proportional to 256,652,108 and 554,213,146 is: 1,196,764,809.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,652,108 : 554,213,146 = 554,213,146 : x
  2. Step 2: Convert to fraction form
    256,652,108/554,213,146 = 554,213,146/x
  3. Step 3: Cross multiply
    256,652,108x = 554,213,146 × 554,213,146
  4. Step 4: Simplify right side
    256,652,108x = 307,152,211,199,217,344
  5. Step 5: Solve for x
    x = 307,152,211,199,217,344/256,652,108
  6. Step 6: Final answer
    x = 1,196,764,809.74

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.