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Finding the Third Proportional to 168,556,171,166 and 243,534,559,561

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Solution

The third proportional to 168,556,171,166 and 243,534,559,561 is: 351,865,382,858.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,556,171,166 : 243,534,559,561 = 243,534,559,561 : x
  2. Step 2: Convert to fraction form
    168,556,171,166/243,534,559,561 = 243,534,559,561/x
  3. Step 3: Cross multiply
    168,556,171,166x = 243,534,559,561 × 243,534,559,561
  4. Step 4: Simplify right side
    168,556,171,166x = 59,309,081,700,570,253,754,368
  5. Step 5: Solve for x
    x = 59,309,081,700,570,253,754,368/168,556,171,166
  6. Step 6: Final answer
    x = 351,865,382,858.99

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.