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Finding the Third Proportional to 168,355,280,857.50 and 348,644,173,044.93

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Solution

The third proportional to 168,355,280,857.50 and 348,644,173,044.93 is: 722,001,464,872.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,355,280,857.50 : 348,644,173,044.93 = 348,644,173,044.93 : x
  2. Step 2: Convert to fraction form
    168,355,280,857.50/348,644,173,044.93 = 348,644,173,044.93/x
  3. Step 3: Cross multiply
    168,355,280,857.50x = 348,644,173,044.93 × 348,644,173,044.93
  4. Step 4: Simplify right side
    168,355,280,857.50x = 121,552,759,398,183,083,180,032
  5. Step 5: Solve for x
    x = 121,552,759,398,183,083,180,032/168,355,280,857.50
  6. Step 6: Final answer
    x = 722,001,464,872.78

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These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.