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Finding the Third Proportional to 223,126,627.50 and 482,105,839.50

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Solution

The third proportional to 223,126,627.50 and 482,105,839.50 is: 1,041,677,737.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,126,627.50 : 482,105,839.50 = 482,105,839.50 : x
  2. Step 2: Convert to fraction form
    223,126,627.50/482,105,839.50 = 482,105,839.50/x
  3. Step 3: Cross multiply
    223,126,627.50x = 482,105,839.50 × 482,105,839.50
  4. Step 4: Simplify right side
    223,126,627.50x = 232,426,040,479,999,776
  5. Step 5: Solve for x
    x = 232,426,040,479,999,776/223,126,627.50
  6. Step 6: Final answer
    x = 1,041,677,737.36

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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.