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Finding the Third Proportional to 165,626,768.25 and 348,387,588

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Solution

The third proportional to 165,626,768.25 and 348,387,588 is: 732,815,792.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,626,768.25 : 348,387,588 = 348,387,588 : x
  2. Step 2: Convert to fraction form
    165,626,768.25/348,387,588 = 348,387,588/x
  3. Step 3: Cross multiply
    165,626,768.25x = 348,387,588 × 348,387,588
  4. Step 4: Simplify right side
    165,626,768.25x = 121,373,911,472,457,744
  5. Step 5: Solve for x
    x = 121,373,911,472,457,744/165,626,768.25
  6. Step 6: Final answer
    x = 732,815,792.73

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.