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Finding the Third Proportional to 265,297,176 and 570,905,136

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Solution

The third proportional to 265,297,176 and 570,905,136 is: 1,228,556,893.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,297,176 : 570,905,136 = 570,905,136 : x
  2. Step 2: Convert to fraction form
    265,297,176/570,905,136 = 570,905,136/x
  3. Step 3: Cross multiply
    265,297,176x = 570,905,136 × 570,905,136
  4. Step 4: Simplify right side
    265,297,176x = 325,932,674,311,178,496
  5. Step 5: Solve for x
    x = 325,932,674,311,178,496/265,297,176
  6. Step 6: Final answer
    x = 1,228,556,893.16

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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.