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Finding the Third Proportional to 255,902,995.50 and 552,583,017

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Solution

The third proportional to 255,902,995.50 and 552,583,017 is: 1,193,217,727.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,902,995.50 : 552,583,017 = 552,583,017 : x
  2. Step 2: Convert to fraction form
    255,902,995.50/552,583,017 = 552,583,017/x
  3. Step 3: Cross multiply
    255,902,995.50x = 552,583,017 × 552,583,017
  4. Step 4: Simplify right side
    255,902,995.50x = 305,347,990,676,822,272
  5. Step 5: Solve for x
    x = 305,347,990,676,822,272/255,902,995.50
  6. Step 6: Final answer
    x = 1,193,217,727.21

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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.