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Finding the Third Proportional to 84,891,284 and 181,885,408

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Solution

The third proportional to 84,891,284 and 181,885,408 is: 389,701,982.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,891,284 : 181,885,408 = 181,885,408 : x
  2. Step 2: Convert to fraction form
    84,891,284/181,885,408 = 181,885,408/x
  3. Step 3: Cross multiply
    84,891,284x = 181,885,408 × 181,885,408
  4. Step 4: Simplify right side
    84,891,284x = 33,082,301,643,326,464
  5. Step 5: Solve for x
    x = 33,082,301,643,326,464/84,891,284
  6. Step 6: Final answer
    x = 389,701,982.16

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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.