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Finding the Third Proportional to 102,635,521 and 223,340,022

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Solution

The third proportional to 102,635,521 and 223,340,022 is: 485,999,047.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,635,521 : 223,340,022 = 223,340,022 : x
  2. Step 2: Convert to fraction form
    102,635,521/223,340,022 = 223,340,022/x
  3. Step 3: Cross multiply
    102,635,521x = 223,340,022 × 223,340,022
  4. Step 4: Simplify right side
    102,635,521x = 49,880,765,426,960,480
  5. Step 5: Solve for x
    x = 49,880,765,426,960,480/102,635,521
  6. Step 6: Final answer
    x = 485,999,047.32

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.