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Finding the Third Proportional to 317,095,610.63 and 485,120,780.44

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Solution

The third proportional to 317,095,610.63 and 485,120,780.44 is: 742,180,477.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,095,610.63 : 485,120,780.44 = 485,120,780.44 : x
  2. Step 2: Convert to fraction form
    317,095,610.63/485,120,780.44 = 485,120,780.44/x
  3. Step 3: Cross multiply
    317,095,610.63x = 485,120,780.44 × 485,120,780.44
  4. Step 4: Simplify right side
    317,095,610.63x = 235,342,171,612,289,088
  5. Step 5: Solve for x
    x = 235,342,171,612,289,088/317,095,610.63
  6. Step 6: Final answer
    x = 742,180,477.20

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.