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Finding the Third Proportional to 105,272,187 and 234,749,812.50

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Solution

The third proportional to 105,272,187 and 234,749,812.50 is: 523,476,105.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,272,187 : 234,749,812.50 = 234,749,812.50 : x
  2. Step 2: Convert to fraction form
    105,272,187/234,749,812.50 = 234,749,812.50/x
  3. Step 3: Cross multiply
    105,272,187x = 234,749,812.50 × 234,749,812.50
  4. Step 4: Simplify right side
    105,272,187x = 55,107,474,468,785,160
  5. Step 5: Solve for x
    x = 55,107,474,468,785,160/105,272,187
  6. Step 6: Final answer
    x = 523,476,105.51

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.