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Finding the Third Proportional to 113,654,758.50 and 166,230,604.69

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Solution

The third proportional to 113,654,758.50 and 166,230,604.69 is: 243,127,646.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,654,758.50 : 166,230,604.69 = 166,230,604.69 : x
  2. Step 2: Convert to fraction form
    113,654,758.50/166,230,604.69 = 166,230,604.69/x
  3. Step 3: Cross multiply
    113,654,758.50x = 166,230,604.69 × 166,230,604.69
  4. Step 4: Simplify right side
    113,654,758.50x = 27,632,613,934,771,896
  5. Step 5: Solve for x
    x = 27,632,613,934,771,896/113,654,758.50
  6. Step 6: Final answer
    x = 243,127,646.39

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.