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Finding the Third Proportional to 238,999,149 and 514,319,016

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Solution

The third proportional to 238,999,149 and 514,319,016 is: 1,106,799,130.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,999,149 : 514,319,016 = 514,319,016 : x
  2. Step 2: Convert to fraction form
    238,999,149/514,319,016 = 514,319,016/x
  3. Step 3: Cross multiply
    238,999,149x = 514,319,016 × 514,319,016
  4. Step 4: Simplify right side
    238,999,149x = 264,524,050,219,208,256
  5. Step 5: Solve for x
    x = 264,524,050,219,208,256/238,999,149
  6. Step 6: Final answer
    x = 1,106,799,130.15

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.