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Finding the Third Proportional to 114,946,397 and 250,961,770

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Solution

The third proportional to 114,946,397 and 250,961,770 is: 547,923,307.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,946,397 : 250,961,770 = 250,961,770 : x
  2. Step 2: Convert to fraction form
    114,946,397/250,961,770 = 250,961,770/x
  3. Step 3: Cross multiply
    114,946,397x = 250,961,770 × 250,961,770
  4. Step 4: Simplify right side
    114,946,397x = 62,981,810,001,532,896
  5. Step 5: Solve for x
    x = 62,981,810,001,532,896/114,946,397
  6. Step 6: Final answer
    x = 547,923,307.26

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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.