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Finding the Third Proportional to 188,253,045 and 275,154,995.25

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Solution

The third proportional to 188,253,045 and 275,154,995.25 is: 402,172,891.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,253,045 : 275,154,995.25 = 275,154,995.25 : x
  2. Step 2: Convert to fraction form
    188,253,045/275,154,995.25 = 275,154,995.25/x
  3. Step 3: Cross multiply
    188,253,045x = 275,154,995.25 × 275,154,995.25
  4. Step 4: Simplify right side
    188,253,045x = 75,710,271,411,027,520
  5. Step 5: Solve for x
    x = 75,710,271,411,027,520/188,253,045
  6. Step 6: Final answer
    x = 402,172,891.34

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.