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Finding the Third Proportional to 231,878,084 and 500,074,140

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Solution

The third proportional to 231,878,084 and 500,074,140 is: 1,078,472,536.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,878,084 : 500,074,140 = 500,074,140 : x
  2. Step 2: Convert to fraction form
    231,878,084/500,074,140 = 500,074,140/x
  3. Step 3: Cross multiply
    231,878,084x = 500,074,140 × 500,074,140
  4. Step 4: Simplify right side
    231,878,084x = 250,074,145,496,739,584
  5. Step 5: Solve for x
    x = 250,074,145,496,739,584/231,878,084
  6. Step 6: Final answer
    x = 1,078,472,536.87

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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.