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Finding the Third Proportional to 156,997,094,157 and 342,409,010,094

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Solution

The third proportional to 156,997,094,157 and 342,409,010,094 is: 746,790,447,448.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,997,094,157 : 342,409,010,094 = 342,409,010,094 : x
  2. Step 2: Convert to fraction form
    156,997,094,157/342,409,010,094 = 342,409,010,094/x
  3. Step 3: Cross multiply
    156,997,094,157x = 342,409,010,094 × 342,409,010,094
  4. Step 4: Simplify right side
    156,997,094,157x = 117,243,930,193,553,000,497,152
  5. Step 5: Solve for x
    x = 117,243,930,193,553,000,497,152/156,997,094,157
  6. Step 6: Final answer
    x = 746,790,447,448.07

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.