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Finding the Third Proportional to 103,146,628 and 156,048,720

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Solution

The third proportional to 103,146,628 and 156,048,720 is: 236,083,364.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,146,628 : 156,048,720 = 156,048,720 : x
  2. Step 2: Convert to fraction form
    103,146,628/156,048,720 = 156,048,720/x
  3. Step 3: Cross multiply
    103,146,628x = 156,048,720 × 156,048,720
  4. Step 4: Simplify right side
    103,146,628x = 24,351,203,013,638,400
  5. Step 5: Solve for x
    x = 24,351,203,013,638,400/103,146,628
  6. Step 6: Final answer
    x = 236,083,364.87

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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.