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Finding the Third Proportional to 114,055,873.50 and 234,158,195.25

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Solution

The third proportional to 114,055,873.50 and 234,158,195.25 is: 480,729,827.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,055,873.50 : 234,158,195.25 = 234,158,195.25 : x
  2. Step 2: Convert to fraction form
    114,055,873.50/234,158,195.25 = 234,158,195.25/x
  3. Step 3: Cross multiply
    114,055,873.50x = 234,158,195.25 × 234,158,195.25
  4. Step 4: Simplify right side
    114,055,873.50x = 54,830,060,402,737,120
  5. Step 5: Solve for x
    x = 54,830,060,402,737,120/114,055,873.50
  6. Step 6: Final answer
    x = 480,729,827.59

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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.