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Finding the Third Proportional to 216,008,410.50 and 343,144,491.75

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Solution

The third proportional to 216,008,410.50 and 343,144,491.75 is: 545,109,062.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,008,410.50 : 343,144,491.75 = 343,144,491.75 : x
  2. Step 2: Convert to fraction form
    216,008,410.50/343,144,491.75 = 343,144,491.75/x
  3. Step 3: Cross multiply
    216,008,410.50x = 343,144,491.75 × 343,144,491.75
  4. Step 4: Simplify right side
    216,008,410.50x = 117,748,142,218,365,824
  5. Step 5: Solve for x
    x = 117,748,142,218,365,824/216,008,410.50
  6. Step 6: Final answer
    x = 545,109,062.86

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.