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Finding the Third Proportional to 34,220,298 and 71,271,303

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Solution

The third proportional to 34,220,298 and 71,271,303 is: 148,438,176.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,220,298 : 71,271,303 = 71,271,303 : x
  2. Step 2: Convert to fraction form
    34,220,298/71,271,303 = 71,271,303/x
  3. Step 3: Cross multiply
    34,220,298x = 71,271,303 × 71,271,303
  4. Step 4: Simplify right side
    34,220,298x = 5,079,598,631,317,809
  5. Step 5: Solve for x
    x = 5,079,598,631,317,809/34,220,298
  6. Step 6: Final answer
    x = 148,438,176.41

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.