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Finding the Third Proportional to 194,157,018 and 415,948,962

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Solution

The third proportional to 194,157,018 and 415,948,962 is: 891,101,134.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,157,018 : 415,948,962 = 415,948,962 : x
  2. Step 2: Convert to fraction form
    194,157,018/415,948,962 = 415,948,962/x
  3. Step 3: Cross multiply
    194,157,018x = 415,948,962 × 415,948,962
  4. Step 4: Simplify right side
    194,157,018x = 173,013,538,988,877,440
  5. Step 5: Solve for x
    x = 173,013,538,988,877,440/194,157,018
  6. Step 6: Final answer
    x = 891,101,134.39

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.