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Finding the Third Proportional to 97,428,384 and 209,553,408

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Solution

The third proportional to 97,428,384 and 209,553,408 is: 450,717,019.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,428,384 : 209,553,408 = 209,553,408 : x
  2. Step 2: Convert to fraction form
    97,428,384/209,553,408 = 209,553,408/x
  3. Step 3: Cross multiply
    97,428,384x = 209,553,408 × 209,553,408
  4. Step 4: Simplify right side
    97,428,384x = 43,912,630,804,414,464
  5. Step 5: Solve for x
    x = 43,912,630,804,414,464/97,428,384
  6. Step 6: Final answer
    x = 450,717,019.02

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.