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Finding the Third Proportional to 226,034,304 and 488,197,632

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Solution

The third proportional to 226,034,304 and 488,197,632 is: 1,054,428,127.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,034,304 : 488,197,632 = 488,197,632 : x
  2. Step 2: Convert to fraction form
    226,034,304/488,197,632 = 488,197,632/x
  3. Step 3: Cross multiply
    226,034,304x = 488,197,632 × 488,197,632
  4. Step 4: Simplify right side
    226,034,304x = 238,336,927,890,407,424
  5. Step 5: Solve for x
    x = 238,336,927,890,407,424/226,034,304
  6. Step 6: Final answer
    x = 1,054,428,127.38

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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.