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Finding the Third Proportional to 281,920,131 and 605,484,567

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Solution

The third proportional to 281,920,131 and 605,484,567 is: 1,300,409,302.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,920,131 : 605,484,567 = 605,484,567 : x
  2. Step 2: Convert to fraction form
    281,920,131/605,484,567 = 605,484,567/x
  3. Step 3: Cross multiply
    281,920,131x = 605,484,567 × 605,484,567
  4. Step 4: Simplify right side
    281,920,131x = 366,611,560,875,177,472
  5. Step 5: Solve for x
    x = 366,611,560,875,177,472/281,920,131
  6. Step 6: Final answer
    x = 1,300,409,302.36

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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.