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Finding the Third Proportional to 114,630,400 and 242,199,200

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Solution

The third proportional to 114,630,400 and 242,199,200 is: 511,735,564.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,630,400 : 242,199,200 = 242,199,200 : x
  2. Step 2: Convert to fraction form
    114,630,400/242,199,200 = 242,199,200/x
  3. Step 3: Cross multiply
    114,630,400x = 242,199,200 × 242,199,200
  4. Step 4: Simplify right side
    114,630,400x = 58,660,452,480,640,000
  5. Step 5: Solve for x
    x = 58,660,452,480,640,000/114,630,400
  6. Step 6: Final answer
    x = 511,735,564.74

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.