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Finding the Third Proportional to 221,808,152 and 494,617,072

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Solution

The third proportional to 221,808,152 and 494,617,072 is: 1,102,962,383.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,808,152 : 494,617,072 = 494,617,072 : x
  2. Step 2: Convert to fraction form
    221,808,152/494,617,072 = 494,617,072/x
  3. Step 3: Cross multiply
    221,808,152x = 494,617,072 × 494,617,072
  4. Step 4: Simplify right side
    221,808,152x = 244,646,047,913,853,184
  5. Step 5: Solve for x
    x = 244,646,047,913,853,184/221,808,152
  6. Step 6: Final answer
    x = 1,102,962,383.07

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.