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Finding the Third Proportional to 93,147,128,682 and 202,614,598,200

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Solution

The third proportional to 93,147,128,682 and 202,614,598,200 is: 440,729,370,670.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,147,128,682 : 202,614,598,200 = 202,614,598,200 : x
  2. Step 2: Convert to fraction form
    93,147,128,682/202,614,598,200 = 202,614,598,200/x
  3. Step 3: Cross multiply
    93,147,128,682x = 202,614,598,200 × 202,614,598,200
  4. Step 4: Simplify right side
    93,147,128,682x = 41,052,675,403,747,447,275,520
  5. Step 5: Solve for x
    x = 41,052,675,403,747,447,275,520/93,147,128,682
  6. Step 6: Final answer
    x = 440,729,370,670.13

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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.