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Finding the Third Proportional to 260,836,273.50 and 562,532,148

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Solution

The third proportional to 260,836,273.50 and 562,532,148 is: 1,213,184,091.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,836,273.50 : 562,532,148 = 562,532,148 : x
  2. Step 2: Convert to fraction form
    260,836,273.50/562,532,148 = 562,532,148/x
  3. Step 3: Cross multiply
    260,836,273.50x = 562,532,148 × 562,532,148
  4. Step 4: Simplify right side
    260,836,273.50x = 316,442,417,533,493,888
  5. Step 5: Solve for x
    x = 316,442,417,533,493,888/260,836,273.50
  6. Step 6: Final answer
    x = 1,213,184,091.64

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.