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Finding the Third Proportional to 146,174,535.50 and 325,031,257

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Solution

The third proportional to 146,174,535.50 and 325,031,257 is: 722,734,077.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,174,535.50 : 325,031,257 = 325,031,257 : x
  2. Step 2: Convert to fraction form
    146,174,535.50/325,031,257 = 325,031,257/x
  3. Step 3: Cross multiply
    146,174,535.50x = 325,031,257 × 325,031,257
  4. Step 4: Simplify right side
    146,174,535.50x = 105,645,318,027,000,048
  5. Step 5: Solve for x
    x = 105,645,318,027,000,048/146,174,535.50
  6. Step 6: Final answer
    x = 722,734,077.22

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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.