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Finding the Third Proportional to 152,908,256,010 and 212,606,707,716

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Solution

The third proportional to 152,908,256,010 and 212,606,707,716 is: 295,612,632,995.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,908,256,010 : 212,606,707,716 = 212,606,707,716 : x
  2. Step 2: Convert to fraction form
    152,908,256,010/212,606,707,716 = 212,606,707,716/x
  3. Step 3: Cross multiply
    152,908,256,010x = 212,606,707,716 × 212,606,707,716
  4. Step 4: Simplify right side
    152,908,256,010x = 45,201,612,165,836,653,461,504
  5. Step 5: Solve for x
    x = 45,201,612,165,836,653,461,504/152,908,256,010
  6. Step 6: Final answer
    x = 295,612,632,995.31

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.