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Finding the Third Proportional to 52,297,434.75 and 114,011,353

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Solution

The third proportional to 52,297,434.75 and 114,011,353 is: 248,551,170.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,297,434.75 : 114,011,353 = 114,011,353 : x
  2. Step 2: Convert to fraction form
    52,297,434.75/114,011,353 = 114,011,353/x
  3. Step 3: Cross multiply
    52,297,434.75x = 114,011,353 × 114,011,353
  4. Step 4: Simplify right side
    52,297,434.75x = 12,998,588,612,890,608
  5. Step 5: Solve for x
    x = 12,998,588,612,890,608/52,297,434.75
  6. Step 6: Final answer
    x = 248,551,170.34

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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.