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Finding the Third Proportional to 76,573,947.38 and 115,772,550.75

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Solution

The third proportional to 76,573,947.38 and 115,772,550.75 is: 175,037,123.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,573,947.38 : 115,772,550.75 = 115,772,550.75 : x
  2. Step 2: Convert to fraction form
    76,573,947.38/115,772,550.75 = 115,772,550.75/x
  3. Step 3: Cross multiply
    76,573,947.38x = 115,772,550.75 × 115,772,550.75
  4. Step 4: Simplify right side
    76,573,947.38x = 13,403,283,507,161,326
  5. Step 5: Solve for x
    x = 13,403,283,507,161,326/76,573,947.38
  6. Step 6: Final answer
    x = 175,037,123.81

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.