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Finding the Third Proportional to 172,680,096 and 265,689,673.50

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Solution

The third proportional to 172,680,096 and 265,689,673.50 is: 408,796,405.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,680,096 : 265,689,673.50 = 265,689,673.50 : x
  2. Step 2: Convert to fraction form
    172,680,096/265,689,673.50 = 265,689,673.50/x
  3. Step 3: Cross multiply
    172,680,096x = 265,689,673.50 × 265,689,673.50
  4. Step 4: Simplify right side
    172,680,096x = 70,591,002,604,536,600
  5. Step 5: Solve for x
    x = 70,591,002,604,536,600/172,680,096
  6. Step 6: Final answer
    x = 408,796,405.84

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.