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Finding the Third Proportional to 42,452,863 and 90,960,091

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Solution

The third proportional to 42,452,863 and 90,960,091 is: 194,892,348.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,452,863 : 90,960,091 = 90,960,091 : x
  2. Step 2: Convert to fraction form
    42,452,863/90,960,091 = 90,960,091/x
  3. Step 3: Cross multiply
    42,452,863x = 90,960,091 × 90,960,091
  4. Step 4: Simplify right side
    42,452,863x = 8,273,738,154,728,281
  5. Step 5: Solve for x
    x = 8,273,738,154,728,281/42,452,863
  6. Step 6: Final answer
    x = 194,892,348.13

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.