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Finding the Third Proportional to 258,272,903,022.76 and 363,546,673,614

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Solution

The third proportional to 258,272,903,022.76 and 363,546,673,614 is: 511,730,740,425.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,272,903,022.76 : 363,546,673,614 = 363,546,673,614 : x
  2. Step 2: Convert to fraction form
    258,272,903,022.76/363,546,673,614 = 363,546,673,614/x
  3. Step 3: Cross multiply
    258,272,903,022.76x = 363,546,673,614 × 363,546,673,614
  4. Step 4: Simplify right side
    258,272,903,022.76x = 132,166,183,895,804,244,131,840
  5. Step 5: Solve for x
    x = 132,166,183,895,804,244,131,840/258,272,903,022.76
  6. Step 6: Final answer
    x = 511,730,740,425.98

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.