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Finding the Third Proportional to 221,552,215 and 484,799,341

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Solution

The third proportional to 221,552,215 and 484,799,341 is: 1,060,835,257.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,552,215 : 484,799,341 = 484,799,341 : x
  2. Step 2: Convert to fraction form
    221,552,215/484,799,341 = 484,799,341/x
  3. Step 3: Cross multiply
    221,552,215x = 484,799,341 × 484,799,341
  4. Step 4: Simplify right side
    221,552,215x = 235,030,401,034,034,272
  5. Step 5: Solve for x
    x = 235,030,401,034,034,272/221,552,215
  6. Step 6: Final answer
    x = 1,060,835,257.43

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.