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Finding the Third Proportional to 228,137,384 and 492,638,224

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Solution

The third proportional to 228,137,384 and 492,638,224 is: 1,063,799,433.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,137,384 : 492,638,224 = 492,638,224 : x
  2. Step 2: Convert to fraction form
    228,137,384/492,638,224 = 492,638,224/x
  3. Step 3: Cross multiply
    228,137,384x = 492,638,224 × 492,638,224
  4. Step 4: Simplify right side
    228,137,384x = 242,692,419,745,874,176
  5. Step 5: Solve for x
    x = 242,692,419,745,874,176/228,137,384
  6. Step 6: Final answer
    x = 1,063,799,433.00

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.