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Finding the Third Proportional to 156,350,324 and 343,534,432

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Solution

The third proportional to 156,350,324 and 343,534,432 is: 754,817,150.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,350,324 : 343,534,432 = 343,534,432 : x
  2. Step 2: Convert to fraction form
    156,350,324/343,534,432 = 343,534,432/x
  3. Step 3: Cross multiply
    156,350,324x = 343,534,432 × 343,534,432
  4. Step 4: Simplify right side
    156,350,324x = 118,015,905,969,562,624
  5. Step 5: Solve for x
    x = 118,015,905,969,562,624/156,350,324
  6. Step 6: Final answer
    x = 754,817,150.04

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.