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Finding the Third Proportional to 90,746,496 and 136,186,128

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Solution

The third proportional to 90,746,496 and 136,186,128 is: 204,378,816.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,746,496 : 136,186,128 = 136,186,128 : x
  2. Step 2: Convert to fraction form
    90,746,496/136,186,128 = 136,186,128/x
  3. Step 3: Cross multiply
    90,746,496x = 136,186,128 × 136,186,128
  4. Step 4: Simplify right side
    90,746,496x = 18,546,661,459,632,384
  5. Step 5: Solve for x
    x = 18,546,661,459,632,384/90,746,496
  6. Step 6: Final answer
    x = 204,378,816.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.