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Finding the Third Proportional to 222,835,769 and 488,718,213

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Solution

The third proportional to 222,835,769 and 488,718,213 is: 1,071,845,389.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,835,769 : 488,718,213 = 488,718,213 : x
  2. Step 2: Convert to fraction form
    222,835,769/488,718,213 = 488,718,213/x
  3. Step 3: Cross multiply
    222,835,769x = 488,718,213 × 488,718,213
  4. Step 4: Simplify right side
    222,835,769x = 238,845,491,717,913,376
  5. Step 5: Solve for x
    x = 238,845,491,717,913,376/222,835,769
  6. Step 6: Final answer
    x = 1,071,845,389.95

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.