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Finding the Third Proportional to 136,447,568 and 296,802,080

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Solution

The third proportional to 136,447,568 and 296,802,080 is: 645,606,777.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,447,568 : 296,802,080 = 296,802,080 : x
  2. Step 2: Convert to fraction form
    136,447,568/296,802,080 = 296,802,080/x
  3. Step 3: Cross multiply
    136,447,568x = 296,802,080 × 296,802,080
  4. Step 4: Simplify right side
    136,447,568x = 88,091,474,692,326,400
  5. Step 5: Solve for x
    x = 88,091,474,692,326,400/136,447,568
  6. Step 6: Final answer
    x = 645,606,777.63

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.