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Finding the Third Proportional to 93,147,135,318 and 202,614,609,973.50

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Solution

The third proportional to 93,147,135,318 and 202,614,609,973.50 is: 440,729,390,491.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,147,135,318 : 202,614,609,973.50 = 202,614,609,973.50 : x
  2. Step 2: Convert to fraction form
    93,147,135,318/202,614,609,973.50 = 202,614,609,973.50/x
  3. Step 3: Cross multiply
    93,147,135,318x = 202,614,609,973.50 × 202,614,609,973.50
  4. Step 4: Simplify right side
    93,147,135,318x = 41,052,680,174,713,528,385,536
  5. Step 5: Solve for x
    x = 41,052,680,174,713,528,385,536/93,147,135,318
  6. Step 6: Final answer
    x = 440,729,390,491.31

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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.