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Finding the Third Proportional to 251,599,698 and 538,176,116

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Solution

The third proportional to 251,599,698 and 538,176,116 is: 1,151,168,042.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,599,698 : 538,176,116 = 538,176,116 : x
  2. Step 2: Convert to fraction form
    251,599,698/538,176,116 = 538,176,116/x
  3. Step 3: Cross multiply
    251,599,698x = 538,176,116 × 538,176,116
  4. Step 4: Simplify right side
    251,599,698x = 289,633,531,832,845,440
  5. Step 5: Solve for x
    x = 289,633,531,832,845,440/251,599,698
  6. Step 6: Final answer
    x = 1,151,168,042.47

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.