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Finding the Third Proportional to 191,642,145.54 and 416,914,541.86

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Solution

The third proportional to 191,642,145.54 and 416,914,541.86 is: 906,991,177.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,642,145.54 : 416,914,541.86 = 416,914,541.86 : x
  2. Step 2: Convert to fraction form
    191,642,145.54/416,914,541.86 = 416,914,541.86/x
  3. Step 3: Cross multiply
    191,642,145.54x = 416,914,541.86 × 416,914,541.86
  4. Step 4: Simplify right side
    191,642,145.54x = 173,817,735,213,800,032
  5. Step 5: Solve for x
    x = 173,817,735,213,800,032/191,642,145.54
  6. Step 6: Final answer
    x = 906,991,177.36

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.