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Finding the Third Proportional to 191,642,728.36 and 416,915,711.30

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Solution

The third proportional to 191,642,728.36 and 416,915,711.30 is: 906,993,507.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,642,728.36 : 416,915,711.30 = 416,915,711.30 : x
  2. Step 2: Convert to fraction form
    191,642,728.36/416,915,711.30 = 416,915,711.30/x
  3. Step 3: Cross multiply
    191,642,728.36x = 416,915,711.30 × 416,915,711.30
  4. Step 4: Simplify right side
    191,642,728.36x = 173,818,710,326,183,392
  5. Step 5: Solve for x
    x = 173,818,710,326,183,392/191,642,728.36
  6. Step 6: Final answer
    x = 906,993,507.21

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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.