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Finding the Third Proportional to 207,844,056 and 290,578,224

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Solution

The third proportional to 207,844,056 and 290,578,224 is: 406,245,460.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,844,056 : 290,578,224 = 290,578,224 : x
  2. Step 2: Convert to fraction form
    207,844,056/290,578,224 = 290,578,224/x
  3. Step 3: Cross multiply
    207,844,056x = 290,578,224 × 290,578,224
  4. Step 4: Simplify right side
    207,844,056x = 84,435,704,262,994,176
  5. Step 5: Solve for x
    x = 84,435,704,262,994,176/207,844,056
  6. Step 6: Final answer
    x = 406,245,460.60

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Why These Related Problems?

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