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Finding the Third Proportional to 186,294,263,584 and 405,229,208,406

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Solution

The third proportional to 186,294,263,584 and 405,229,208,406 is: 881,458,764,141.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,294,263,584 : 405,229,208,406 = 405,229,208,406 : x
  2. Step 2: Convert to fraction form
    186,294,263,584/405,229,208,406 = 405,229,208,406/x
  3. Step 3: Cross multiply
    186,294,263,584x = 405,229,208,406 × 405,229,208,406
  4. Step 4: Simplify right side
    186,294,263,584x = 164,210,711,345,353,390,555,136
  5. Step 5: Solve for x
    x = 164,210,711,345,353,390,555,136/186,294,263,584
  6. Step 6: Final answer
    x = 881,458,764,141.23

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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.