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Finding the Third Proportional to 223,126,671.75 and 482,105,928

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Solution

The third proportional to 223,126,671.75 and 482,105,928 is: 1,041,677,913.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,126,671.75 : 482,105,928 = 482,105,928 : x
  2. Step 2: Convert to fraction form
    223,126,671.75/482,105,928 = 482,105,928/x
  3. Step 3: Cross multiply
    223,126,671.75x = 482,105,928 × 482,105,928
  4. Step 4: Simplify right side
    223,126,671.75x = 232,426,125,812,741,184
  5. Step 5: Solve for x
    x = 232,426,125,812,741,184/223,126,671.75
  6. Step 6: Final answer
    x = 1,041,677,913.22

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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.