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Finding the Third Proportional to 49,819,160.75 and 107,826,422.50

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Solution

The third proportional to 49,819,160.75 and 107,826,422.50 is: 233,374,814.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,819,160.75 : 107,826,422.50 = 107,826,422.50 : x
  2. Step 2: Convert to fraction form
    49,819,160.75/107,826,422.50 = 107,826,422.50/x
  3. Step 3: Cross multiply
    49,819,160.75x = 107,826,422.50 × 107,826,422.50
  4. Step 4: Simplify right side
    49,819,160.75x = 11,626,537,389,148,506
  5. Step 5: Solve for x
    x = 11,626,537,389,148,506/49,819,160.75
  6. Step 6: Final answer
    x = 233,374,814.31

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