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Finding the Third Proportional to 127,144,304 and 274,611,184

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Solution

The third proportional to 127,144,304 and 274,611,184 is: 593,115,853.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,144,304 : 274,611,184 = 274,611,184 : x
  2. Step 2: Convert to fraction form
    127,144,304/274,611,184 = 274,611,184/x
  3. Step 3: Cross multiply
    127,144,304x = 274,611,184 × 274,611,184
  4. Step 4: Simplify right side
    127,144,304x = 75,411,302,377,881,856
  5. Step 5: Solve for x
    x = 75,411,302,377,881,856/127,144,304
  6. Step 6: Final answer
    x = 593,115,853.45

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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.