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Finding the Third Proportional to 90,071,052.19 and 182,648,436.75

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Solution

The third proportional to 90,071,052.19 and 182,648,436.75 is: 370,379,279.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,071,052.19 : 182,648,436.75 = 182,648,436.75 : x
  2. Step 2: Convert to fraction form
    90,071,052.19/182,648,436.75 = 182,648,436.75/x
  3. Step 3: Cross multiply
    90,071,052.19x = 182,648,436.75 × 182,648,436.75
  4. Step 4: Simplify right side
    90,071,052.19x = 33,360,451,447,218,752
  5. Step 5: Solve for x
    x = 33,360,451,447,218,752/90,071,052.19
  6. Step 6: Final answer
    x = 370,379,279.88

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.