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Finding the Third Proportional to 173,606,304 and 268,572,656

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Solution

The third proportional to 173,606,304 and 268,572,656 is: 415,487,628.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,606,304 : 268,572,656 = 268,572,656 : x
  2. Step 2: Convert to fraction form
    173,606,304/268,572,656 = 268,572,656/x
  3. Step 3: Cross multiply
    173,606,304x = 268,572,656 × 268,572,656
  4. Step 4: Simplify right side
    173,606,304x = 72,131,271,550,894,336
  5. Step 5: Solve for x
    x = 72,131,271,550,894,336/173,606,304
  6. Step 6: Final answer
    x = 415,487,628.55

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.