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Finding the Third Proportional to 115,272,882 and 178,295,971

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Solution

The third proportional to 115,272,882 and 178,295,971 is: 275,775,644.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,272,882 : 178,295,971 = 178,295,971 : x
  2. Step 2: Convert to fraction form
    115,272,882/178,295,971 = 178,295,971/x
  3. Step 3: Cross multiply
    115,272,882x = 178,295,971 × 178,295,971
  4. Step 4: Simplify right side
    115,272,882x = 31,789,453,274,832,840
  5. Step 5: Solve for x
    x = 31,789,453,274,832,840/115,272,882
  6. Step 6: Final answer
    x = 275,775,644.05

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.