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Finding the Third Proportional to 51,807,213 and 113,348,284

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Solution

The third proportional to 51,807,213 and 113,348,284 is: 247,993,141.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,807,213 : 113,348,284 = 113,348,284 : x
  2. Step 2: Convert to fraction form
    51,807,213/113,348,284 = 113,348,284/x
  3. Step 3: Cross multiply
    51,807,213x = 113,348,284 × 113,348,284
  4. Step 4: Simplify right side
    51,807,213x = 12,847,833,485,744,656
  5. Step 5: Solve for x
    x = 12,847,833,485,744,656/51,807,213
  6. Step 6: Final answer
    x = 247,993,141.14

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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.