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Finding the Third Proportional to 116,409,216 and 182,611,958

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Solution

The third proportional to 116,409,216 and 182,611,958 is: 286,464,666.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,409,216 : 182,611,958 = 182,611,958 : x
  2. Step 2: Convert to fraction form
    116,409,216/182,611,958 = 182,611,958/x
  3. Step 3: Cross multiply
    116,409,216x = 182,611,958 × 182,611,958
  4. Step 4: Simplify right side
    116,409,216x = 33,347,127,204,593,764
  5. Step 5: Solve for x
    x = 33,347,127,204,593,764/116,409,216
  6. Step 6: Final answer
    x = 286,464,666.20

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.