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Finding the Third Proportional to 113,110,020 and 172,952,010

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Solution

The third proportional to 113,110,020 and 172,952,010 is: 264,454,004.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,110,020 : 172,952,010 = 172,952,010 : x
  2. Step 2: Convert to fraction form
    113,110,020/172,952,010 = 172,952,010/x
  3. Step 3: Cross multiply
    113,110,020x = 172,952,010 × 172,952,010
  4. Step 4: Simplify right side
    113,110,020x = 29,912,397,763,040,100
  5. Step 5: Solve for x
    x = 29,912,397,763,040,100/113,110,020
  6. Step 6: Final answer
    x = 264,454,004.72

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.