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Finding the Third Proportional to 238,999,151 and 514,319,020

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Solution

The third proportional to 238,999,151 and 514,319,020 is: 1,106,799,138.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,999,151 : 514,319,020 = 514,319,020 : x
  2. Step 2: Convert to fraction form
    238,999,151/514,319,020 = 514,319,020/x
  3. Step 3: Cross multiply
    238,999,151x = 514,319,020 × 514,319,020
  4. Step 4: Simplify right side
    238,999,151x = 264,524,054,333,760,384
  5. Step 5: Solve for x
    x = 264,524,054,333,760,384/238,999,151
  6. Step 6: Final answer
    x = 1,106,799,138.10

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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.