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Finding the Third Proportional to 146,210,640 and 317,630,856

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Solution

The third proportional to 146,210,640 and 317,630,856 is: 690,027,488.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,210,640 : 317,630,856 = 317,630,856 : x
  2. Step 2: Convert to fraction form
    146,210,640/317,630,856 = 317,630,856/x
  3. Step 3: Cross multiply
    146,210,640x = 317,630,856 × 317,630,856
  4. Step 4: Simplify right side
    146,210,640x = 100,889,360,683,292,736
  5. Step 5: Solve for x
    x = 100,889,360,683,292,736/146,210,640
  6. Step 6: Final answer
    x = 690,027,488.31

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.