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Finding the Third Proportional to 146,365,352 and 215,493,132

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Solution

The third proportional to 146,365,352 and 215,493,132 is: 317,269,690.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,365,352 : 215,493,132 = 215,493,132 : x
  2. Step 2: Convert to fraction form
    146,365,352/215,493,132 = 215,493,132/x
  3. Step 3: Cross multiply
    146,365,352x = 215,493,132 × 215,493,132
  4. Step 4: Simplify right side
    146,365,352x = 46,437,289,939,169,424
  5. Step 5: Solve for x
    x = 46,437,289,939,169,424/146,365,352
  6. Step 6: Final answer
    x = 317,269,690.57

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.