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Finding the Third Proportional to 162,314,306 and 330,297,298

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Solution

The third proportional to 162,314,306 and 330,297,298 is: 672,129,941.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,314,306 : 330,297,298 = 330,297,298 : x
  2. Step 2: Convert to fraction form
    162,314,306/330,297,298 = 330,297,298/x
  3. Step 3: Cross multiply
    162,314,306x = 330,297,298 × 330,297,298
  4. Step 4: Simplify right side
    162,314,306x = 109,096,305,066,100,800
  5. Step 5: Solve for x
    x = 109,096,305,066,100,800/162,314,306
  6. Step 6: Final answer
    x = 672,129,941.93

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.