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Finding the Third Proportional to 114,055,878 and 234,158,206

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Solution

The third proportional to 114,055,878 and 234,158,206 is: 480,729,852.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,055,878 : 234,158,206 = 234,158,206 : x
  2. Step 2: Convert to fraction form
    114,055,878/234,158,206 = 234,158,206/x
  3. Step 3: Cross multiply
    114,055,878x = 234,158,206 × 234,158,206
  4. Step 4: Simplify right side
    114,055,878x = 54,830,065,437,138,432
  5. Step 5: Solve for x
    x = 54,830,065,437,138,432/114,055,878
  6. Step 6: Final answer
    x = 480,729,852.76

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.