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Finding the Third Proportional to 255,903,148 and 552,583,304

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Solution

The third proportional to 255,903,148 and 552,583,304 is: 1,193,218,255.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,903,148 : 552,583,304 = 552,583,304 : x
  2. Step 2: Convert to fraction form
    255,903,148/552,583,304 = 552,583,304/x
  3. Step 3: Cross multiply
    255,903,148x = 552,583,304 × 552,583,304
  4. Step 4: Simplify right side
    255,903,148x = 305,348,307,859,556,416
  5. Step 5: Solve for x
    x = 305,348,307,859,556,416/255,903,148
  6. Step 6: Final answer
    x = 1,193,218,255.60

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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.