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Finding the Third Proportional to 171,345,798 and 261,036,201

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Solution

The third proportional to 171,345,798 and 261,036,201 is: 397,674,754.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,345,798 : 261,036,201 = 261,036,201 : x
  2. Step 2: Convert to fraction form
    171,345,798/261,036,201 = 261,036,201/x
  3. Step 3: Cross multiply
    171,345,798x = 261,036,201 × 261,036,201
  4. Step 4: Simplify right side
    171,345,798x = 68,139,898,232,512,400
  5. Step 5: Solve for x
    x = 68,139,898,232,512,400/171,345,798
  6. Step 6: Final answer
    x = 397,674,754.96

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.