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Finding the Third Proportional to 83,401,315.31 and 173,705,707.69

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Solution

The third proportional to 83,401,315.31 and 173,705,707.69 is: 361,788,933.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,401,315.31 : 173,705,707.69 = 173,705,707.69 : x
  2. Step 2: Convert to fraction form
    83,401,315.31/173,705,707.69 = 173,705,707.69/x
  3. Step 3: Cross multiply
    83,401,315.31x = 173,705,707.69 × 173,705,707.69
  4. Step 4: Simplify right side
    83,401,315.31x = 30,173,672,883,215,196
  5. Step 5: Solve for x
    x = 30,173,672,883,215,196/83,401,315.31
  6. Step 6: Final answer
    x = 361,788,933.07

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.