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Finding the Third Proportional to 359,843,761 and 552,860,167.75

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Solution

The third proportional to 359,843,761 and 552,860,167.75 is: 849,408,543.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,843,761 : 552,860,167.75 = 552,860,167.75 : x
  2. Step 2: Convert to fraction form
    359,843,761/552,860,167.75 = 552,860,167.75/x
  3. Step 3: Cross multiply
    359,843,761x = 552,860,167.75 × 552,860,167.75
  4. Step 4: Simplify right side
    359,843,761x = 305,654,365,084,558,144
  5. Step 5: Solve for x
    x = 305,654,365,084,558,144/359,843,761
  6. Step 6: Final answer
    x = 849,408,543.96

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.