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Finding the Third Proportional to 103,146,629 and 156,048,721.50

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Solution

The third proportional to 103,146,629 and 156,048,721.50 is: 236,083,367.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,146,629 : 156,048,721.50 = 156,048,721.50 : x
  2. Step 2: Convert to fraction form
    103,146,629/156,048,721.50 = 156,048,721.50/x
  3. Step 3: Cross multiply
    103,146,629x = 156,048,721.50 × 156,048,721.50
  4. Step 4: Simplify right side
    103,146,629x = 24,351,203,481,784,564
  5. Step 5: Solve for x
    x = 24,351,203,481,784,564/103,146,629
  6. Step 6: Final answer
    x = 236,083,367.12

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.