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Finding the Third Proportional to 97,671,456 and 212,325,699

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Solution

The third proportional to 97,671,456 and 212,325,699 is: 461,569,882.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,671,456 : 212,325,699 = 212,325,699 : x
  2. Step 2: Convert to fraction form
    97,671,456/212,325,699 = 212,325,699/x
  3. Step 3: Cross multiply
    97,671,456x = 212,325,699 × 212,325,699
  4. Step 4: Simplify right side
    97,671,456x = 45,082,202,455,838,600
  5. Step 5: Solve for x
    x = 45,082,202,455,838,600/97,671,456
  6. Step 6: Final answer
    x = 461,569,882.36

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.