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Finding the Third Proportional to 93,147,128,679 and 202,614,598,193.24

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Solution

The third proportional to 93,147,128,679 and 202,614,598,193.24 is: 440,729,370,654.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,147,128,679 : 202,614,598,193.24 = 202,614,598,193.24 : x
  2. Step 2: Convert to fraction form
    93,147,128,679/202,614,598,193.24 = 202,614,598,193.24/x
  3. Step 3: Cross multiply
    93,147,128,679x = 202,614,598,193.24 × 202,614,598,193.24
  4. Step 4: Simplify right side
    93,147,128,679x = 41,052,675,401,008,088,612,864
  5. Step 5: Solve for x
    x = 41,052,675,401,008,088,612,864/93,147,128,679
  6. Step 6: Final answer
    x = 440,729,370,654.92

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Why These Related Problems?

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