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Finding the Third Proportional to 98,297,064 and 163,808,794.13

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Solution

The third proportional to 98,297,064 and 163,808,794.13 is: 272,981,917.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,297,064 : 163,808,794.13 = 163,808,794.13 : x
  2. Step 2: Convert to fraction form
    98,297,064/163,808,794.13 = 163,808,794.13/x
  3. Step 3: Cross multiply
    98,297,064x = 163,808,794.13 × 163,808,794.13
  4. Step 4: Simplify right side
    98,297,064x = 26,833,321,032,686,636
  5. Step 5: Solve for x
    x = 26,833,321,032,686,636/98,297,064
  6. Step 6: Final answer
    x = 272,981,917.68

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.