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Finding the Third Proportional to 89,676,038 and 193,105,624

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Solution

The third proportional to 89,676,038 and 193,105,624 is: 415,827,715.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,676,038 : 193,105,624 = 193,105,624 : x
  2. Step 2: Convert to fraction form
    89,676,038/193,105,624 = 193,105,624/x
  3. Step 3: Cross multiply
    89,676,038x = 193,105,624 × 193,105,624
  4. Step 4: Simplify right side
    89,676,038x = 37,289,782,020,429,376
  5. Step 5: Solve for x
    x = 37,289,782,020,429,376/89,676,038
  6. Step 6: Final answer
    x = 415,827,715.54

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.