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Finding the Third Proportional to 265,297,182 and 570,905,148

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Solution

The third proportional to 265,297,182 and 570,905,148 is: 1,228,556,917.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,297,182 : 570,905,148 = 570,905,148 : x
  2. Step 2: Convert to fraction form
    265,297,182/570,905,148 = 570,905,148/x
  3. Step 3: Cross multiply
    265,297,182x = 570,905,148 × 570,905,148
  4. Step 4: Simplify right side
    265,297,182x = 325,932,688,012,901,888
  5. Step 5: Solve for x
    x = 325,932,688,012,901,888/265,297,182
  6. Step 6: Final answer
    x = 1,228,556,917.02

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.