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Finding the Third Proportional to 323,842,131.75 and 497,457,167.63

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Solution

The third proportional to 323,842,131.75 and 497,457,167.63 is: 764,148,976.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,842,131.75 : 497,457,167.63 = 497,457,167.63 : x
  2. Step 2: Convert to fraction form
    323,842,131.75/497,457,167.63 = 497,457,167.63/x
  3. Step 3: Cross multiply
    323,842,131.75x = 497,457,167.63 × 497,457,167.63
  4. Step 4: Simplify right side
    323,842,131.75x = 247,463,633,621,487,360
  5. Step 5: Solve for x
    x = 247,463,633,621,487,360/323,842,131.75
  6. Step 6: Final answer
    x = 764,148,976.80

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.