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Finding the Third Proportional to 51,807,253 and 113,348,342

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Solution

The third proportional to 51,807,253 and 113,348,342 is: 247,993,203.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,807,253 : 113,348,342 = 113,348,342 : x
  2. Step 2: Convert to fraction form
    51,807,253/113,348,342 = 113,348,342/x
  3. Step 3: Cross multiply
    51,807,253x = 113,348,342 × 113,348,342
  4. Step 4: Simplify right side
    51,807,253x = 12,847,846,634,148,964
  5. Step 5: Solve for x
    x = 12,847,846,634,148,964/51,807,253
  6. Step 6: Final answer
    x = 247,993,203.46

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.