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Finding the Third Proportional to 138,845,516 and 289,183,176

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Solution

The third proportional to 138,845,516 and 289,183,176 is: 602,301,836.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,845,516 : 289,183,176 = 289,183,176 : x
  2. Step 2: Convert to fraction form
    138,845,516/289,183,176 = 289,183,176/x
  3. Step 3: Cross multiply
    138,845,516x = 289,183,176 × 289,183,176
  4. Step 4: Simplify right side
    138,845,516x = 83,626,909,281,446,976
  5. Step 5: Solve for x
    x = 83,626,909,281,446,976/138,845,516
  6. Step 6: Final answer
    x = 602,301,836.53

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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.