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Finding the Third Proportional to 172,419,597 and 376,442,658

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Solution

The third proportional to 172,419,597 and 376,442,658 is: 821,884,966.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,419,597 : 376,442,658 = 376,442,658 : x
  2. Step 2: Convert to fraction form
    172,419,597/376,442,658 = 376,442,658/x
  3. Step 3: Cross multiply
    172,419,597x = 376,442,658 × 376,442,658
  4. Step 4: Simplify right side
    172,419,597x = 141,709,074,762,104,960
  5. Step 5: Solve for x
    x = 141,709,074,762,104,960/172,419,597
  6. Step 6: Final answer
    x = 821,884,966.84

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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.