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Finding the Third Proportional to 81,719,160,741 and 115,028,439,741

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Solution

The third proportional to 81,719,160,741 and 115,028,439,741 is: 161,914,804,670.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,719,160,741 : 115,028,439,741 = 115,028,439,741 : x
  2. Step 2: Convert to fraction form
    81,719,160,741/115,028,439,741 = 115,028,439,741/x
  3. Step 3: Cross multiply
    81,719,160,741x = 115,028,439,741 × 115,028,439,741
  4. Step 4: Simplify right side
    81,719,160,741x = 13,231,541,949,248,867,139,584
  5. Step 5: Solve for x
    x = 13,231,541,949,248,867,139,584/81,719,160,741
  6. Step 6: Final answer
    x = 161,914,804,670.90

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.