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Finding the Third Proportional to 51,811,209 and 111,693,266.50

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Solution

The third proportional to 51,811,209 and 111,693,266.50 is: 240,785,459.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,811,209 : 111,693,266.50 = 111,693,266.50 : x
  2. Step 2: Convert to fraction form
    51,811,209/111,693,266.50 = 111,693,266.50/x
  3. Step 3: Cross multiply
    51,811,209x = 111,693,266.50 × 111,693,266.50
  4. Step 4: Simplify right side
    51,811,209x = 12,475,385,781,440,022
  5. Step 5: Solve for x
    x = 12,475,385,781,440,022/51,811,209
  6. Step 6: Final answer
    x = 240,785,459.79

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.