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Finding the Third Proportional to 111,528,082 and 241,584,422

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Solution

The third proportional to 111,528,082 and 241,584,422 is: 523,303,475.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,528,082 : 241,584,422 = 241,584,422 : x
  2. Step 2: Convert to fraction form
    111,528,082/241,584,422 = 241,584,422/x
  3. Step 3: Cross multiply
    111,528,082x = 241,584,422 × 241,584,422
  4. Step 4: Simplify right side
    111,528,082x = 58,363,032,953,074,080
  5. Step 5: Solve for x
    x = 58,363,032,953,074,080/111,528,082
  6. Step 6: Final answer
    x = 523,303,475.74

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.