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Finding the Third Proportional to 178,066,362 and 392,359,797.75

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Solution

The third proportional to 178,066,362 and 392,359,797.75 is: 864,544,033.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,066,362 : 392,359,797.75 = 392,359,797.75 : x
  2. Step 2: Convert to fraction form
    178,066,362/392,359,797.75 = 392,359,797.75/x
  3. Step 3: Cross multiply
    178,066,362x = 392,359,797.75 × 392,359,797.75
  4. Step 4: Simplify right side
    178,066,362x = 153,946,210,890,420,896
  5. Step 5: Solve for x
    x = 153,946,210,890,420,896/178,066,362
  6. Step 6: Final answer
    x = 864,544,033.82

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.