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Finding the Third Proportional to 182,160,870 and 281,753,457

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Solution

The third proportional to 182,160,870 and 281,753,457 is: 435,796,175.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,160,870 : 281,753,457 = 281,753,457 : x
  2. Step 2: Convert to fraction form
    182,160,870/281,753,457 = 281,753,457/x
  3. Step 3: Cross multiply
    182,160,870x = 281,753,457 × 281,753,457
  4. Step 4: Simplify right side
    182,160,870x = 79,385,010,531,450,848
  5. Step 5: Solve for x
    x = 79,385,010,531,450,848/182,160,870
  6. Step 6: Final answer
    x = 435,796,175.83

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.