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Finding the Third Proportional to 227,909,988 and 463,874,436

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Solution

The third proportional to 227,909,988 and 463,874,436 is: 944,142,440.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,909,988 : 463,874,436 = 463,874,436 : x
  2. Step 2: Convert to fraction form
    227,909,988/463,874,436 = 463,874,436/x
  3. Step 3: Cross multiply
    227,909,988x = 463,874,436 × 463,874,436
  4. Step 4: Simplify right side
    227,909,988x = 215,179,492,374,318,080
  5. Step 5: Solve for x
    x = 215,179,492,374,318,080/227,909,988
  6. Step 6: Final answer
    x = 944,142,440.89

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.