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Finding the Third Proportional to 90,842,069 and 199,271,304

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Solution

The third proportional to 90,842,069 and 199,271,304 is: 437,121,842.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,842,069 : 199,271,304 = 199,271,304 : x
  2. Step 2: Convert to fraction form
    90,842,069/199,271,304 = 199,271,304/x
  3. Step 3: Cross multiply
    90,842,069x = 199,271,304 × 199,271,304
  4. Step 4: Simplify right side
    90,842,069x = 39,709,052,597,860,416
  5. Step 5: Solve for x
    x = 39,709,052,597,860,416/90,842,069
  6. Step 6: Final answer
    x = 437,121,842.72

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.