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Finding the Third Proportional to 143,146,382,986 and 213,478,225,935

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Solution

The third proportional to 143,146,382,986 and 213,478,225,935 is: 318,366,080,914.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,146,382,986 : 213,478,225,935 = 213,478,225,935 : x
  2. Step 2: Convert to fraction form
    143,146,382,986/213,478,225,935 = 213,478,225,935/x
  3. Step 3: Cross multiply
    143,146,382,986x = 213,478,225,935 × 213,478,225,935
  4. Step 4: Simplify right side
    143,146,382,986x = 45,572,952,948,354,905,538,560
  5. Step 5: Solve for x
    x = 45,572,952,948,354,905,538,560/143,146,382,986
  6. Step 6: Final answer
    x = 318,366,080,914.61

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.