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Finding the Third Proportional to 81,211,653 and 175,367,035.13

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Solution

The third proportional to 81,211,653 and 175,367,035.13 is: 378,684,534.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,211,653 : 175,367,035.13 = 175,367,035.13 : x
  2. Step 2: Convert to fraction form
    81,211,653/175,367,035.13 = 175,367,035.13/x
  3. Step 3: Cross multiply
    81,211,653x = 175,367,035.13 × 175,367,035.13
  4. Step 4: Simplify right side
    81,211,653x = 30,753,597,008,532,984
  5. Step 5: Solve for x
    x = 30,753,597,008,532,984/81,211,653
  6. Step 6: Final answer
    x = 378,684,534.45

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.