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Finding the Third Proportional to 111,528,084 and 241,584,432

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Solution

The third proportional to 111,528,084 and 241,584,432 is: 523,303,509.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,528,084 : 241,584,432 = 241,584,432 : x
  2. Step 2: Convert to fraction form
    111,528,084/241,584,432 = 241,584,432/x
  3. Step 3: Cross multiply
    111,528,084x = 241,584,432 × 241,584,432
  4. Step 4: Simplify right side
    111,528,084x = 58,363,037,784,762,624
  5. Step 5: Solve for x
    x = 58,363,037,784,762,624/111,528,084
  6. Step 6: Final answer
    x = 523,303,509.68

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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.