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Finding the Third Proportional to 96,367,124.25 and 146,809,226.25

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Solution

The third proportional to 96,367,124.25 and 146,809,226.25 is: 223,654,582.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,367,124.25 : 146,809,226.25 = 146,809,226.25 : x
  2. Step 2: Convert to fraction form
    96,367,124.25/146,809,226.25 = 146,809,226.25/x
  3. Step 3: Cross multiply
    96,367,124.25x = 146,809,226.25 × 146,809,226.25
  4. Step 4: Simplify right side
    96,367,124.25x = 21,552,948,912,123,688
  5. Step 5: Solve for x
    x = 21,552,948,912,123,688/96,367,124.25
  6. Step 6: Final answer
    x = 223,654,582.20

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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.