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Finding the Third Proportional to 118,385,988,099 and 276,243,518,197.50

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Solution

The third proportional to 118,385,988,099 and 276,243,518,197.50 is: 644,590,483,819.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,385,988,099 : 276,243,518,197.50 = 276,243,518,197.50 : x
  2. Step 2: Convert to fraction form
    118,385,988,099/276,243,518,197.50 = 276,243,518,197.50/x
  3. Step 3: Cross multiply
    118,385,988,099x = 276,243,518,197.50 × 276,243,518,197.50
  4. Step 4: Simplify right side
    118,385,988,099x = 76,310,481,346,132,512,342,016
  5. Step 5: Solve for x
    x = 76,310,481,346,132,512,342,016/118,385,988,099
  6. Step 6: Final answer
    x = 644,590,483,819.07

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.