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Finding the Third Proportional to 96,973,675.88 and 215,470,708.88

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Solution

The third proportional to 96,973,675.88 and 215,470,708.88 is: 478,765,252.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,973,675.88 : 215,470,708.88 = 215,470,708.88 : x
  2. Step 2: Convert to fraction form
    96,973,675.88/215,470,708.88 = 215,470,708.88/x
  3. Step 3: Cross multiply
    96,973,675.88x = 215,470,708.88 × 215,470,708.88
  4. Step 4: Simplify right side
    96,973,675.88x = 46,427,626,383,095,000
  5. Step 5: Solve for x
    x = 46,427,626,383,095,000/96,973,675.88
  6. Step 6: Final answer
    x = 478,765,252.16

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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.