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Finding the Third Proportional to 234,210,580.29 and 520,787,303.58

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Solution

The third proportional to 234,210,580.29 and 520,787,303.58 is: 1,158,015,215.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,210,580.29 : 520,787,303.58 = 520,787,303.58 : x
  2. Step 2: Convert to fraction form
    234,210,580.29/520,787,303.58 = 520,787,303.58/x
  3. Step 3: Cross multiply
    234,210,580.29x = 520,787,303.58 × 520,787,303.58
  4. Step 4: Simplify right side
    234,210,580.29x = 271,219,415,568,168,928
  5. Step 5: Solve for x
    x = 271,219,415,568,168,928/234,210,580.29
  6. Step 6: Final answer
    x = 1,158,015,215.34

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.