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Finding the Third Proportional to 100,977,475.50 and 217,898,181

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Solution

The third proportional to 100,977,475.50 and 217,898,181 is: 470,200,082.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,977,475.50 : 217,898,181 = 217,898,181 : x
  2. Step 2: Convert to fraction form
    100,977,475.50/217,898,181 = 217,898,181/x
  3. Step 3: Cross multiply
    100,977,475.50x = 217,898,181 × 217,898,181
  4. Step 4: Simplify right side
    100,977,475.50x = 47,479,617,283,108,760
  5. Step 5: Solve for x
    x = 47,479,617,283,108,760/100,977,475.50
  6. Step 6: Final answer
    x = 470,200,082.23

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.