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Finding the Third Proportional to 210,896,651,900.50 and 462,084,561,035

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Solution

The third proportional to 210,896,651,900.50 and 462,084,561,035 is: 1,012,449,176,517.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,896,651,900.50 : 462,084,561,035 = 462,084,561,035 : x
  2. Step 2: Convert to fraction form
    210,896,651,900.50/462,084,561,035 = 462,084,561,035/x
  3. Step 3: Cross multiply
    210,896,651,900.50x = 462,084,561,035 × 462,084,561,035
  4. Step 4: Simplify right side
    210,896,651,900.50x = 213,522,141,546,908,647,161,856
  5. Step 5: Solve for x
    x = 213,522,141,546,908,647,161,856/210,896,651,900.50
  6. Step 6: Final answer
    x = 1,012,449,176,517.26

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.