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Finding the Third Proportional to 106,456,972 and 230,982,968

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Solution

The third proportional to 106,456,972 and 230,982,968 is: 501,170,853.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,456,972 : 230,982,968 = 230,982,968 : x
  2. Step 2: Convert to fraction form
    106,456,972/230,982,968 = 230,982,968/x
  3. Step 3: Cross multiply
    106,456,972x = 230,982,968 × 230,982,968
  4. Step 4: Simplify right side
    106,456,972x = 53,353,131,506,089,024
  5. Step 5: Solve for x
    x = 53,353,131,506,089,024/106,456,972
  6. Step 6: Final answer
    x = 501,170,853.39

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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.