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Finding the Third Proportional to 82,448,356.50 and 179,103,465

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Solution

The third proportional to 82,448,356.50 and 179,103,465 is: 389,068,412.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,448,356.50 : 179,103,465 = 179,103,465 : x
  2. Step 2: Convert to fraction form
    82,448,356.50/179,103,465 = 179,103,465/x
  3. Step 3: Cross multiply
    82,448,356.50x = 179,103,465 × 179,103,465
  4. Step 4: Simplify right side
    82,448,356.50x = 32,078,051,175,006,224
  5. Step 5: Solve for x
    x = 32,078,051,175,006,224/82,448,356.50
  6. Step 6: Final answer
    x = 389,068,412.48

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.