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Finding the Third Proportional to 101,444,508 and 221,566,254

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Solution

The third proportional to 101,444,508 and 221,566,254 is: 483,925,703.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,444,508 : 221,566,254 = 221,566,254 : x
  2. Step 2: Convert to fraction form
    101,444,508/221,566,254 = 221,566,254/x
  3. Step 3: Cross multiply
    101,444,508x = 221,566,254 × 221,566,254
  4. Step 4: Simplify right side
    101,444,508x = 49,091,604,911,592,512
  5. Step 5: Solve for x
    x = 49,091,604,911,592,512/101,444,508
  6. Step 6: Final answer
    x = 483,925,703.61

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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.