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Finding the Third Proportional to 193,838,768 and 414,924,552

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Solution

The third proportional to 193,838,768 and 414,924,552 is: 888,173,122.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,838,768 : 414,924,552 = 414,924,552 : x
  2. Step 2: Convert to fraction form
    193,838,768/414,924,552 = 414,924,552/x
  3. Step 3: Cross multiply
    193,838,768x = 414,924,552 × 414,924,552
  4. Step 4: Simplify right side
    193,838,768x = 172,162,383,852,400,704
  5. Step 5: Solve for x
    x = 172,162,383,852,400,704/193,838,768
  6. Step 6: Final answer
    x = 888,173,122.58

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.