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Finding the Third Proportional to 45,153.38 and 70,315.13

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Solution

The third proportional to 45,153.38 and 70,315.13 is: 109,498.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,153.38 : 70,315.13 = 70,315.13 : x
  2. Step 2: Convert to fraction form
    45,153.38/70,315.13 = 70,315.13/x
  3. Step 3: Cross multiply
    45,153.38x = 70,315.13 × 70,315.13
  4. Step 4: Simplify right side
    45,153.38x = 4,944,216,803.77
  5. Step 5: Solve for x
    x = 4,944,216,803.77/45,153.38
  6. Step 6: Final answer
    x = 109,498.28

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.