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Finding the Third Proportional to 98,816,109 and 214,643,063

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Solution

The third proportional to 98,816,109 and 214,643,063 is: 466,236,173.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,816,109 : 214,643,063 = 214,643,063 : x
  2. Step 2: Convert to fraction form
    98,816,109/214,643,063 = 214,643,063/x
  3. Step 3: Cross multiply
    98,816,109x = 214,643,063 × 214,643,063
  4. Step 4: Simplify right side
    98,816,109x = 46,071,644,494,021,968
  5. Step 5: Solve for x
    x = 46,071,644,494,021,968/98,816,109
  6. Step 6: Final answer
    x = 466,236,173.03

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.