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Finding the Third Proportional to 93,147,132,240 and 202,614,605,100

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Solution

The third proportional to 93,147,132,240 and 202,614,605,100 is: 440,729,383,853.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,147,132,240 : 202,614,605,100 = 202,614,605,100 : x
  2. Step 2: Convert to fraction form
    93,147,132,240/202,614,605,100 = 202,614,605,100/x
  3. Step 3: Cross multiply
    93,147,132,240x = 202,614,605,100 × 202,614,605,100
  4. Step 4: Simplify right side
    93,147,132,240x = 41,052,678,199,828,946,092,032
  5. Step 5: Solve for x
    x = 41,052,678,199,828,946,092,032/93,147,132,240
  6. Step 6: Final answer
    x = 440,729,383,853.21

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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.