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Finding the Third Proportional to 95,510,788,000 and 204,438,571,740

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Solution

The third proportional to 95,510,788,000 and 204,438,571,740 is: 437,595,903,984.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,510,788,000 : 204,438,571,740 = 204,438,571,740 : x
  2. Step 2: Convert to fraction form
    95,510,788,000/204,438,571,740 = 204,438,571,740/x
  3. Step 3: Cross multiply
    95,510,788,000x = 204,438,571,740 × 204,438,571,740
  4. Step 4: Simplify right side
    95,510,788,000x = 41,795,129,615,091,129,909,248
  5. Step 5: Solve for x
    x = 41,795,129,615,091,129,909,248/95,510,788,000
  6. Step 6: Final answer
    x = 437,595,903,984.07

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.