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Finding the Third Proportional to 212,738,094 and 465,832,494

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Solution

The third proportional to 212,738,094 and 465,832,494 is: 1,020,033,170.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,738,094 : 465,832,494 = 465,832,494 : x
  2. Step 2: Convert to fraction form
    212,738,094/465,832,494 = 465,832,494/x
  3. Step 3: Cross multiply
    212,738,094x = 465,832,494 × 465,832,494
  4. Step 4: Simplify right side
    212,738,094x = 216,999,912,466,260,032
  5. Step 5: Solve for x
    x = 216,999,912,466,260,032/212,738,094
  6. Step 6: Final answer
    x = 1,020,033,170.30

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Why These Related Problems?

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