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Finding the Third Proportional to 182,077,051 and 266,203,014

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Solution

The third proportional to 182,077,051 and 266,203,014 is: 389,198,112.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,077,051 : 266,203,014 = 266,203,014 : x
  2. Step 2: Convert to fraction form
    182,077,051/266,203,014 = 266,203,014/x
  3. Step 3: Cross multiply
    182,077,051x = 266,203,014 × 266,203,014
  4. Step 4: Simplify right side
    182,077,051x = 70,864,044,662,684,192
  5. Step 5: Solve for x
    x = 70,864,044,662,684,192/182,077,051
  6. Step 6: Final answer
    x = 389,198,112.96

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.