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Finding the Third Proportional to 89,850,728.25 and 128,398,770

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Solution

The third proportional to 89,850,728.25 and 128,398,770 is: 183,484,813.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,850,728.25 : 128,398,770 = 128,398,770 : x
  2. Step 2: Convert to fraction form
    89,850,728.25/128,398,770 = 128,398,770/x
  3. Step 3: Cross multiply
    89,850,728.25x = 128,398,770 × 128,398,770
  4. Step 4: Simplify right side
    89,850,728.25x = 16,486,244,137,512,900
  5. Step 5: Solve for x
    x = 16,486,244,137,512,900/89,850,728.25
  6. Step 6: Final answer
    x = 183,484,813.74

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.