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Finding the Third Proportional to 237,774,863.50 and 482,235,416.50

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Solution

The third proportional to 237,774,863.50 and 482,235,416.50 is: 978,030,198.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,774,863.50 : 482,235,416.50 = 482,235,416.50 : x
  2. Step 2: Convert to fraction form
    237,774,863.50/482,235,416.50 = 482,235,416.50/x
  3. Step 3: Cross multiply
    237,774,863.50x = 482,235,416.50 × 482,235,416.50
  4. Step 4: Simplify right side
    237,774,863.50x = 232,550,996,926,928,480
  5. Step 5: Solve for x
    x = 232,550,996,926,928,480/237,774,863.50
  6. Step 6: Final answer
    x = 978,030,198.41

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.