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Finding the Third Proportional to 106,456,968 and 230,982,960

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Solution

The third proportional to 106,456,968 and 230,982,960 is: 501,170,837.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,456,968 : 230,982,960 = 230,982,960 : x
  2. Step 2: Convert to fraction form
    106,456,968/230,982,960 = 230,982,960/x
  3. Step 3: Cross multiply
    106,456,968x = 230,982,960 × 230,982,960
  4. Step 4: Simplify right side
    106,456,968x = 53,353,127,810,361,600
  5. Step 5: Solve for x
    x = 53,353,127,810,361,600/106,456,968
  6. Step 6: Final answer
    x = 501,170,837.50

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