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Finding the Third Proportional to 96,973,876.50 and 215,471,145

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Solution

The third proportional to 96,973,876.50 and 215,471,145 is: 478,766,199.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,973,876.50 : 215,471,145 = 215,471,145 : x
  2. Step 2: Convert to fraction form
    96,973,876.50/215,471,145 = 215,471,145/x
  3. Step 3: Cross multiply
    96,973,876.50x = 215,471,145 × 215,471,145
  4. Step 4: Simplify right side
    96,973,876.50x = 46,427,814,327,611,024
  5. Step 5: Solve for x
    x = 46,427,814,327,611,024/96,973,876.50
  6. Step 6: Final answer
    x = 478,766,199.76

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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.