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Finding the Third Proportional to 114,630,398 and 242,199,196

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Solution

The third proportional to 114,630,398 and 242,199,196 is: 511,735,556.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,630,398 : 242,199,196 = 242,199,196 : x
  2. Step 2: Convert to fraction form
    114,630,398/242,199,196 = 242,199,196/x
  3. Step 3: Cross multiply
    114,630,398x = 242,199,196 × 242,199,196
  4. Step 4: Simplify right side
    114,630,398x = 58,660,450,543,046,416
  5. Step 5: Solve for x
    x = 58,660,450,543,046,416/114,630,398
  6. Step 6: Final answer
    x = 511,735,556.77

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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.