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Finding the Third Proportional to 99,434,737,794 and 213,052,572,996

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Solution

The third proportional to 99,434,737,794 and 213,052,572,996 is: 456,494,378,798.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,434,737,794 : 213,052,572,996 = 213,052,572,996 : x
  2. Step 2: Convert to fraction form
    99,434,737,794/213,052,572,996 = 213,052,572,996/x
  3. Step 3: Cross multiply
    99,434,737,794x = 213,052,572,996 × 213,052,572,996
  4. Step 4: Simplify right side
    99,434,737,794x = 45,391,398,860,215,906,467,840
  5. Step 5: Solve for x
    x = 45,391,398,860,215,906,467,840/99,434,737,794
  6. Step 6: Final answer
    x = 456,494,378,798.02

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