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Finding the Third Proportional to 52,297,443 and 114,011,370

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Solution

The third proportional to 52,297,443 and 114,011,370 is: 248,551,205.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,297,443 : 114,011,370 = 114,011,370 : x
  2. Step 2: Convert to fraction form
    52,297,443/114,011,370 = 114,011,370/x
  3. Step 3: Cross multiply
    52,297,443x = 114,011,370 × 114,011,370
  4. Step 4: Simplify right side
    52,297,443x = 12,998,592,489,276,900
  5. Step 5: Solve for x
    x = 12,998,592,489,276,900/52,297,443
  6. Step 6: Final answer
    x = 248,551,205.25

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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.