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Finding the Third Proportional to 299,226,325,764.93 and 446,878,684,848.93

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Solution

The third proportional to 299,226,325,764.93 and 446,878,684,848.93 is: 667,389,670,550.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,226,325,764.93 : 446,878,684,848.93 = 446,878,684,848.93 : x
  2. Step 2: Convert to fraction form
    299,226,325,764.93/446,878,684,848.93 = 446,878,684,848.93/x
  3. Step 3: Cross multiply
    299,226,325,764.93x = 446,878,684,848.93 × 446,878,684,848.93
  4. Step 4: Simplify right side
    299,226,325,764.93x = 199,700,558,972,309,284,585,472
  5. Step 5: Solve for x
    x = 199,700,558,972,309,284,585,472/299,226,325,764.93
  6. Step 6: Final answer
    x = 667,389,670,550.55

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.