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Finding the Third Proportional to 242,104,200.75 and 385,423,575.75

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Solution

The third proportional to 242,104,200.75 and 385,423,575.75 is: 613,584,284.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,104,200.75 : 385,423,575.75 = 385,423,575.75 : x
  2. Step 2: Convert to fraction form
    242,104,200.75/385,423,575.75 = 385,423,575.75/x
  3. Step 3: Cross multiply
    242,104,200.75x = 385,423,575.75 × 385,423,575.75
  4. Step 4: Simplify right side
    242,104,200.75x = 148,551,332,743,916,000
  5. Step 5: Solve for x
    x = 148,551,332,743,916,000/242,104,200.75
  6. Step 6: Final answer
    x = 613,584,284.30

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.