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Finding the Third Proportional to 182,160,659 and 390,355,366

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Solution

The third proportional to 182,160,659 and 390,355,366 is: 836,499,563.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,160,659 : 390,355,366 = 390,355,366 : x
  2. Step 2: Convert to fraction form
    182,160,659/390,355,366 = 390,355,366/x
  3. Step 3: Cross multiply
    182,160,659x = 390,355,366 × 390,355,366
  4. Step 4: Simplify right side
    182,160,659x = 152,377,311,764,993,952
  5. Step 5: Solve for x
    x = 152,377,311,764,993,952/182,160,659
  6. Step 6: Final answer
    x = 836,499,563.64

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Why These Related Problems?

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