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Finding the Third Proportional to 139,069,020 and 289,582,832

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Solution

The third proportional to 139,069,020 and 289,582,832 is: 602,997,105.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,069,020 : 289,582,832 = 289,582,832 : x
  2. Step 2: Convert to fraction form
    139,069,020/289,582,832 = 289,582,832/x
  3. Step 3: Cross multiply
    139,069,020x = 289,582,832 × 289,582,832
  4. Step 4: Simplify right side
    139,069,020x = 83,858,216,589,140,224
  5. Step 5: Solve for x
    x = 83,858,216,589,140,224/139,069,020
  6. Step 6: Final answer
    x = 602,997,105.96

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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.