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Finding the Third Proportional to 172,419,595 and 376,442,654

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Solution

The third proportional to 172,419,595 and 376,442,654 is: 821,884,958.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,419,595 : 376,442,654 = 376,442,654 : x
  2. Step 2: Convert to fraction form
    172,419,595/376,442,654 = 376,442,654/x
  3. Step 3: Cross multiply
    172,419,595x = 376,442,654 × 376,442,654
  4. Step 4: Simplify right side
    172,419,595x = 141,709,071,750,563,712
  5. Step 5: Solve for x
    x = 141,709,071,750,563,712/172,419,595
  6. Step 6: Final answer
    x = 821,884,958.90

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.