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Finding the Third Proportional to 59,538,112 and 128,199,021

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Solution

The third proportional to 59,538,112 and 128,199,021 is: 276,041,487.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,538,112 : 128,199,021 = 128,199,021 : x
  2. Step 2: Convert to fraction form
    59,538,112/128,199,021 = 128,199,021/x
  3. Step 3: Cross multiply
    59,538,112x = 128,199,021 × 128,199,021
  4. Step 4: Simplify right side
    59,538,112x = 16,434,988,985,358,440
  5. Step 5: Solve for x
    x = 16,434,988,985,358,440/59,538,112
  6. Step 6: Final answer
    x = 276,041,487.26

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.