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Finding the Third Proportional to 97,428,408 and 209,553,456

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Solution

The third proportional to 97,428,408 and 209,553,456 is: 450,717,114.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,428,408 : 209,553,456 = 209,553,456 : x
  2. Step 2: Convert to fraction form
    97,428,408/209,553,456 = 209,553,456/x
  3. Step 3: Cross multiply
    97,428,408x = 209,553,456 × 209,553,456
  4. Step 4: Simplify right side
    97,428,408x = 43,912,650,921,543,936
  5. Step 5: Solve for x
    x = 43,912,650,921,543,936/97,428,408
  6. Step 6: Final answer
    x = 450,717,114.47

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