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Finding the Third Proportional to 215,908,794 and 470,153,268

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Solution

The third proportional to 215,908,794 and 470,153,268 is: 1,023,784,586.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,908,794 : 470,153,268 = 470,153,268 : x
  2. Step 2: Convert to fraction form
    215,908,794/470,153,268 = 470,153,268/x
  3. Step 3: Cross multiply
    215,908,794x = 470,153,268 × 470,153,268
  4. Step 4: Simplify right side
    215,908,794x = 221,044,095,411,079,808
  5. Step 5: Solve for x
    x = 221,044,095,411,079,808/215,908,794
  6. Step 6: Final answer
    x = 1,023,784,586.61

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.