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Finding the Third Proportional to 94,907,879.72 and 147,910,648.64

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Solution

The third proportional to 94,907,879.72 and 147,910,648.64 is: 230,513,631.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,907,879.72 : 147,910,648.64 = 147,910,648.64 : x
  2. Step 2: Convert to fraction form
    94,907,879.72/147,910,648.64 = 147,910,648.64/x
  3. Step 3: Cross multiply
    94,907,879.72x = 147,910,648.64 × 147,910,648.64
  4. Step 4: Simplify right side
    94,907,879.72x = 21,877,559,981,288,940
  5. Step 5: Solve for x
    x = 21,877,559,981,288,940/94,907,879.72
  6. Step 6: Final answer
    x = 230,513,631.18

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.