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Finding the Third Proportional to 182,012,169 and 257,541,705

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Solution

The third proportional to 182,012,169 and 257,541,705 is: 364,413,710.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,012,169 : 257,541,705 = 257,541,705 : x
  2. Step 2: Convert to fraction form
    182,012,169/257,541,705 = 257,541,705/x
  3. Step 3: Cross multiply
    182,012,169x = 257,541,705 × 257,541,705
  4. Step 4: Simplify right side
    182,012,169x = 66,327,729,814,307,024
  5. Step 5: Solve for x
    x = 66,327,729,814,307,024/182,012,169
  6. Step 6: Final answer
    x = 364,413,710.24

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.