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Finding the Third Proportional to 282,898,658 and 618,389,158

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Solution

The third proportional to 282,898,658 and 618,389,158 is: 1,351,739,005.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,898,658 : 618,389,158 = 618,389,158 : x
  2. Step 2: Convert to fraction form
    282,898,658/618,389,158 = 618,389,158/x
  3. Step 3: Cross multiply
    282,898,658x = 618,389,158 × 618,389,158
  4. Step 4: Simplify right side
    282,898,658x = 382,405,150,731,948,992
  5. Step 5: Solve for x
    x = 382,405,150,731,948,992/282,898,658
  6. Step 6: Final answer
    x = 1,351,739,005.89

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.