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Finding the Third Proportional to 50,148,356 and 109,199,531

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Solution

The third proportional to 50,148,356 and 109,199,531 is: 237,785,214.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,148,356 : 109,199,531 = 109,199,531 : x
  2. Step 2: Convert to fraction form
    50,148,356/109,199,531 = 109,199,531/x
  3. Step 3: Cross multiply
    50,148,356x = 109,199,531 × 109,199,531
  4. Step 4: Simplify right side
    50,148,356x = 11,924,537,570,619,960
  5. Step 5: Solve for x
    x = 11,924,537,570,619,960/50,148,356
  6. Step 6: Final answer
    x = 237,785,214.15

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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.