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Finding the Third Proportional to 234,720,733.50 and 509,762,092.50

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Solution

The third proportional to 234,720,733.50 and 509,762,092.50 is: 1,107,091,764.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,720,733.50 : 509,762,092.50 = 509,762,092.50 : x
  2. Step 2: Convert to fraction form
    234,720,733.50/509,762,092.50 = 509,762,092.50/x
  3. Step 3: Cross multiply
    234,720,733.50x = 509,762,092.50 × 509,762,092.50
  4. Step 4: Simplify right side
    234,720,733.50x = 259,857,390,949,978,560
  5. Step 5: Solve for x
    x = 259,857,390,949,978,560/234,720,733.50
  6. Step 6: Final answer
    x = 1,107,091,764.22

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.