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Finding the Third Proportional to 272,383,226 and 382,207,587

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Solution

The third proportional to 272,383,226 and 382,207,587 is: 536,312,906.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,383,226 : 382,207,587 = 382,207,587 : x
  2. Step 2: Convert to fraction form
    272,383,226/382,207,587 = 382,207,587/x
  3. Step 3: Cross multiply
    272,383,226x = 382,207,587 × 382,207,587
  4. Step 4: Simplify right side
    272,383,226x = 146,082,639,560,362,560
  5. Step 5: Solve for x
    x = 146,082,639,560,362,560/272,383,226
  6. Step 6: Final answer
    x = 536,312,906.29

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.