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Finding the Third Proportional to 245,278,862 and 534,103,324

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Solution

The third proportional to 245,278,862 and 534,103,324 is: 1,163,028,719.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,278,862 : 534,103,324 = 534,103,324 : x
  2. Step 2: Convert to fraction form
    245,278,862/534,103,324 = 534,103,324/x
  3. Step 3: Cross multiply
    245,278,862x = 534,103,324 × 534,103,324
  4. Step 4: Simplify right side
    245,278,862x = 285,266,360,707,848,960
  5. Step 5: Solve for x
    x = 285,266,360,707,848,960/245,278,862
  6. Step 6: Final answer
    x = 1,163,028,719.16

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.