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Finding the Third Proportional to 178,614,336 and 384,597,063

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Solution

The third proportional to 178,614,336 and 384,597,063 is: 828,124,461.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,614,336 : 384,597,063 = 384,597,063 : x
  2. Step 2: Convert to fraction form
    178,614,336/384,597,063 = 384,597,063/x
  3. Step 3: Cross multiply
    178,614,336x = 384,597,063 × 384,597,063
  4. Step 4: Simplify right side
    178,614,336x = 147,914,900,868,225,984
  5. Step 5: Solve for x
    x = 147,914,900,868,225,984/178,614,336
  6. Step 6: Final answer
    x = 828,124,461.79

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.