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Finding the Third Proportional to 96,973,680 and 215,470,718

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Solution

The third proportional to 96,973,680 and 215,470,718 is: 478,765,272.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,973,680 : 215,470,718 = 215,470,718 : x
  2. Step 2: Convert to fraction form
    96,973,680/215,470,718 = 215,470,718/x
  3. Step 3: Cross multiply
    96,973,680x = 215,470,718 × 215,470,718
  4. Step 4: Simplify right side
    96,973,680x = 46,427,630,315,435,520
  5. Step 5: Solve for x
    x = 46,427,630,315,435,520/96,973,680
  6. Step 6: Final answer
    x = 478,765,272.34

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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.