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Finding the Third Proportional to 153,998,324 and 234,876,269

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Solution

The third proportional to 153,998,324 and 234,876,269 is: 358,230,273.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,998,324 : 234,876,269 = 234,876,269 : x
  2. Step 2: Convert to fraction form
    153,998,324/234,876,269 = 234,876,269/x
  3. Step 3: Cross multiply
    153,998,324x = 234,876,269 × 234,876,269
  4. Step 4: Simplify right side
    153,998,324x = 55,166,861,739,360,360
  5. Step 5: Solve for x
    x = 55,166,861,739,360,360/153,998,324
  6. Step 6: Final answer
    x = 358,230,273.59

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.