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Finding the Third Proportional to 83,729,340 and 113,090,201

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Solution

The third proportional to 83,729,340 and 113,090,201 is: 152,746,857.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,729,340 : 113,090,201 = 113,090,201 : x
  2. Step 2: Convert to fraction form
    83,729,340/113,090,201 = 113,090,201/x
  3. Step 3: Cross multiply
    83,729,340x = 113,090,201 × 113,090,201
  4. Step 4: Simplify right side
    83,729,340x = 12,789,393,562,220,400
  5. Step 5: Solve for x
    x = 12,789,393,562,220,400/83,729,340
  6. Step 6: Final answer
    x = 152,746,857.46

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.