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Finding the Third Proportional to 48,125,403 and 103,921,164

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Solution

The third proportional to 48,125,403 and 103,921,164 is: 224,405,566.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,125,403 : 103,921,164 = 103,921,164 : x
  2. Step 2: Convert to fraction form
    48,125,403/103,921,164 = 103,921,164/x
  3. Step 3: Cross multiply
    48,125,403x = 103,921,164 × 103,921,164
  4. Step 4: Simplify right side
    48,125,403x = 10,799,608,327,114,896
  5. Step 5: Solve for x
    x = 10,799,608,327,114,896/48,125,403
  6. Step 6: Final answer
    x = 224,405,566.58

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.