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Finding the Third Proportional to 84,891,468 and 181,885,776

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Solution

The third proportional to 84,891,468 and 181,885,776 is: 389,702,714.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,891,468 : 181,885,776 = 181,885,776 : x
  2. Step 2: Convert to fraction form
    84,891,468/181,885,776 = 181,885,776/x
  3. Step 3: Cross multiply
    84,891,468x = 181,885,776 × 181,885,776
  4. Step 4: Simplify right side
    84,891,468x = 33,082,435,511,122,176
  5. Step 5: Solve for x
    x = 33,082,435,511,122,176/84,891,468
  6. Step 6: Final answer
    x = 389,702,714.42

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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.