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Finding the Third Proportional to 223,038,144 and 483,144,882

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Solution

The third proportional to 223,038,144 and 483,144,882 is: 1,046,587,694.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,038,144 : 483,144,882 = 483,144,882 : x
  2. Step 2: Convert to fraction form
    223,038,144/483,144,882 = 483,144,882/x
  3. Step 3: Cross multiply
    223,038,144x = 483,144,882 × 483,144,882
  4. Step 4: Simplify right side
    223,038,144x = 233,428,977,002,793,920
  5. Step 5: Solve for x
    x = 233,428,977,002,793,920/223,038,144
  6. Step 6: Final answer
    x = 1,046,587,694.90

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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.