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Finding the Third Proportional to 174,977,694 and 382,910,076

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Solution

The third proportional to 174,977,694 and 382,910,076 is: 837,936,098.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,977,694 : 382,910,076 = 382,910,076 : x
  2. Step 2: Convert to fraction form
    174,977,694/382,910,076 = 382,910,076/x
  3. Step 3: Cross multiply
    174,977,694x = 382,910,076 × 382,910,076
  4. Step 4: Simplify right side
    174,977,694x = 146,620,126,302,325,760
  5. Step 5: Solve for x
    x = 146,620,126,302,325,760/174,977,694
  6. Step 6: Final answer
    x = 837,936,098.89

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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.