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Finding the Third Proportional to 138,845,557 and 289,183,232

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Solution

The third proportional to 138,845,557 and 289,183,232 is: 602,301,891.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,845,557 : 289,183,232 = 289,183,232 : x
  2. Step 2: Convert to fraction form
    138,845,557/289,183,232 = 289,183,232/x
  3. Step 3: Cross multiply
    138,845,557x = 289,183,232 × 289,183,232
  4. Step 4: Simplify right side
    138,845,557x = 83,626,941,669,965,824
  5. Step 5: Solve for x
    x = 83,626,941,669,965,824/138,845,557
  6. Step 6: Final answer
    x = 602,301,891.95

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.