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Finding the Third Proportional to 113,716,506 and 166,310,100

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Solution

The third proportional to 113,716,506 and 166,310,100 is: 243,228,097.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,716,506 : 166,310,100 = 166,310,100 : x
  2. Step 2: Convert to fraction form
    113,716,506/166,310,100 = 166,310,100/x
  3. Step 3: Cross multiply
    113,716,506x = 166,310,100 × 166,310,100
  4. Step 4: Simplify right side
    113,716,506x = 27,659,049,362,010,000
  5. Step 5: Solve for x
    x = 27,659,049,362,010,000/113,716,506
  6. Step 6: Final answer
    x = 243,228,097.09

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.