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Finding the Third Proportional to 44,786,297,398.50 and 96,219,102,366

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Solution

The third proportional to 44,786,297,398.50 and 96,219,102,366 is: 206,717,594,395.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,786,297,398.50 : 96,219,102,366 = 96,219,102,366 : x
  2. Step 2: Convert to fraction form
    44,786,297,398.50/96,219,102,366 = 96,219,102,366/x
  3. Step 3: Cross multiply
    44,786,297,398.50x = 96,219,102,366 × 96,219,102,366
  4. Step 4: Simplify right side
    44,786,297,398.50x = 9,258,115,660,118,786,834,432
  5. Step 5: Solve for x
    x = 9,258,115,660,118,786,834,432/44,786,297,398.50
  6. Step 6: Final answer
    x = 206,717,594,395.93

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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.