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Finding the Third Proportional to 81,337,176 and 123,911,592.75

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Solution

The third proportional to 81,337,176 and 123,911,592.75 is: 188,770,788.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,337,176 : 123,911,592.75 = 123,911,592.75 : x
  2. Step 2: Convert to fraction form
    81,337,176/123,911,592.75 = 123,911,592.75/x
  3. Step 3: Cross multiply
    81,337,176x = 123,911,592.75 × 123,911,592.75
  4. Step 4: Simplify right side
    81,337,176x = 15,354,082,817,841,852
  5. Step 5: Solve for x
    x = 15,354,082,817,841,852/81,337,176
  6. Step 6: Final answer
    x = 188,770,788.13

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.