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Finding the Third Proportional to 93,147,128,679 and 202,614,598,193.25

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Solution

The third proportional to 93,147,128,679 and 202,614,598,193.25 is: 440,729,370,654.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,147,128,679 : 202,614,598,193.25 = 202,614,598,193.25 : x
  2. Step 2: Convert to fraction form
    93,147,128,679/202,614,598,193.25 = 202,614,598,193.25/x
  3. Step 3: Cross multiply
    93,147,128,679x = 202,614,598,193.25 × 202,614,598,193.25
  4. Step 4: Simplify right side
    93,147,128,679x = 41,052,675,401,012,148,699,136
  5. Step 5: Solve for x
    x = 41,052,675,401,012,148,699,136/93,147,128,679
  6. Step 6: Final answer
    x = 440,729,370,654.96

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.