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Finding the Third Proportional to 40,485,188.25 and 87,421,356

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Solution

The third proportional to 40,485,188.25 and 87,421,356 is: 188,772,581.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,485,188.25 : 87,421,356 = 87,421,356 : x
  2. Step 2: Convert to fraction form
    40,485,188.25/87,421,356 = 87,421,356/x
  3. Step 3: Cross multiply
    40,485,188.25x = 87,421,356 × 87,421,356
  4. Step 4: Simplify right side
    40,485,188.25x = 7,642,493,484,878,736
  5. Step 5: Solve for x
    x = 7,642,493,484,878,736/40,485,188.25
  6. Step 6: Final answer
    x = 188,772,581.16

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Why These Related Problems?

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