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Finding the Third Proportional to 114,630,388 and 242,199,174

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Solution

The third proportional to 114,630,388 and 242,199,174 is: 511,735,508.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,630,388 : 242,199,174 = 242,199,174 : x
  2. Step 2: Convert to fraction form
    114,630,388/242,199,174 = 242,199,174/x
  3. Step 3: Cross multiply
    114,630,388x = 242,199,174 × 242,199,174
  4. Step 4: Simplify right side
    114,630,388x = 58,660,439,886,282,272
  5. Step 5: Solve for x
    x = 58,660,439,886,282,272/114,630,388
  6. Step 6: Final answer
    x = 511,735,508.44

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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.