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Finding the Third Proportional to 168,110,805.75 and 263,692,354.13

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Solution

The third proportional to 168,110,805.75 and 263,692,354.13 is: 413,618,014.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,110,805.75 : 263,692,354.13 = 263,692,354.13 : x
  2. Step 2: Convert to fraction form
    168,110,805.75/263,692,354.13 = 263,692,354.13/x
  3. Step 3: Cross multiply
    168,110,805.75x = 263,692,354.13 × 263,692,354.13
  4. Step 4: Simplify right side
    168,110,805.75x = 69,533,657,623,984,408
  5. Step 5: Solve for x
    x = 69,533,657,623,984,408/168,110,805.75
  6. Step 6: Final answer
    x = 413,618,014.11

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.