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Finding the Third Proportional to 342,168,019.03 and 702,475,228.69

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Solution

The third proportional to 342,168,019.03 and 702,475,228.69 is: 1,442,190,442.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,168,019.03 : 702,475,228.69 = 702,475,228.69 : x
  2. Step 2: Convert to fraction form
    342,168,019.03/702,475,228.69 = 702,475,228.69/x
  3. Step 3: Cross multiply
    342,168,019.03x = 702,475,228.69 × 702,475,228.69
  4. Step 4: Simplify right side
    342,168,019.03x = 493,471,446,919,555,392
  5. Step 5: Solve for x
    x = 493,471,446,919,555,392/342,168,019.03
  6. Step 6: Final answer
    x = 1,442,190,442.92

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.