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Finding the Third Proportional to 186,294,263,582 and 405,229,208,402

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Solution

The third proportional to 186,294,263,582 and 405,229,208,402 is: 881,458,764,133.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,294,263,582 : 405,229,208,402 = 405,229,208,402 : x
  2. Step 2: Convert to fraction form
    186,294,263,582/405,229,208,402 = 405,229,208,402/x
  3. Step 3: Cross multiply
    186,294,263,582x = 405,229,208,402 × 405,229,208,402
  4. Step 4: Simplify right side
    186,294,263,582x = 164,210,711,342,111,562,661,888
  5. Step 5: Solve for x
    x = 164,210,711,342,111,562,661,888/186,294,263,582
  6. Step 6: Final answer
    x = 881,458,764,133.29

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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.