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Finding the Third Proportional to 97,073,772 and 136,541,112

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Solution

The third proportional to 97,073,772 and 136,541,112 is: 192,054,711.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,073,772 : 136,541,112 = 136,541,112 : x
  2. Step 2: Convert to fraction form
    97,073,772/136,541,112 = 136,541,112/x
  3. Step 3: Cross multiply
    97,073,772x = 136,541,112 × 136,541,112
  4. Step 4: Simplify right side
    97,073,772x = 18,643,475,266,196,544
  5. Step 5: Solve for x
    x = 18,643,475,266,196,544/97,073,772
  6. Step 6: Final answer
    x = 192,054,711.40

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.