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Finding the Third Proportional to 96,367,126 and 146,809,229

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Solution

The third proportional to 96,367,126 and 146,809,229 is: 223,654,586.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,367,126 : 146,809,229 = 146,809,229 : x
  2. Step 2: Convert to fraction form
    96,367,126/146,809,229 = 146,809,229/x
  3. Step 3: Cross multiply
    96,367,126x = 146,809,229 × 146,809,229
  4. Step 4: Simplify right side
    96,367,126x = 21,552,949,719,574,440
  5. Step 5: Solve for x
    x = 21,552,949,719,574,440/96,367,126
  6. Step 6: Final answer
    x = 223,654,586.52

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.