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Finding the Third Proportional to 122,753,228 and 262,527,142

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Solution

The third proportional to 122,753,228 and 262,527,142 is: 561,455,705.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,753,228 : 262,527,142 = 262,527,142 : x
  2. Step 2: Convert to fraction form
    122,753,228/262,527,142 = 262,527,142/x
  3. Step 3: Cross multiply
    122,753,228x = 262,527,142 × 262,527,142
  4. Step 4: Simplify right side
    122,753,228x = 68,920,500,286,688,160
  5. Step 5: Solve for x
    x = 68,920,500,286,688,160/122,753,228
  6. Step 6: Final answer
    x = 561,455,705.97

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.