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Finding the Third Proportional to 98,388,006.75 and 227,773,042.88

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Solution

The third proportional to 98,388,006.75 and 227,773,042.88 is: 527,305,723.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,388,006.75 : 227,773,042.88 = 227,773,042.88 : x
  2. Step 2: Convert to fraction form
    98,388,006.75/227,773,042.88 = 227,773,042.88/x
  3. Step 3: Cross multiply
    98,388,006.75x = 227,773,042.88 × 227,773,042.88
  4. Step 4: Simplify right side
    98,388,006.75x = 51,880,559,060,536,592
  5. Step 5: Solve for x
    x = 51,880,559,060,536,592/98,388,006.75
  6. Step 6: Final answer
    x = 527,305,723.27

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.