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Finding the Third Proportional to 89,537,994 and 194,840,079.75

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Solution

The third proportional to 89,537,994 and 194,840,079.75 is: 423,983,774.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,537,994 : 194,840,079.75 = 194,840,079.75 : x
  2. Step 2: Convert to fraction form
    89,537,994/194,840,079.75 = 194,840,079.75/x
  3. Step 3: Cross multiply
    89,537,994x = 194,840,079.75 × 194,840,079.75
  4. Step 4: Simplify right side
    89,537,994x = 37,962,656,676,986,360
  5. Step 5: Solve for x
    x = 37,962,656,676,986,360/89,537,994
  6. Step 6: Final answer
    x = 423,983,774.72

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.