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Finding the Third Proportional to 51,807,254.50 and 113,348,367

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Solution

The third proportional to 51,807,254.50 and 113,348,367 is: 247,993,305.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,807,254.50 : 113,348,367 = 113,348,367 : x
  2. Step 2: Convert to fraction form
    51,807,254.50/113,348,367 = 113,348,367/x
  3. Step 3: Cross multiply
    51,807,254.50x = 113,348,367 × 113,348,367
  4. Step 4: Simplify right side
    51,807,254.50x = 12,847,852,301,566,688
  5. Step 5: Solve for x
    x = 12,847,852,301,566,688/51,807,254.50
  6. Step 6: Final answer
    x = 247,993,305.68

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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.