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Finding the Third Proportional to 68,282,578.13 and 102,426,049.13

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Solution

The third proportional to 68,282,578.13 and 102,426,049.13 is: 153,642,346.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,282,578.13 : 102,426,049.13 = 102,426,049.13 : x
  2. Step 2: Convert to fraction form
    68,282,578.13/102,426,049.13 = 102,426,049.13/x
  3. Step 3: Cross multiply
    68,282,578.13x = 102,426,049.13 × 102,426,049.13
  4. Step 4: Simplify right side
    68,282,578.13x = 10,491,095,539,356,914
  5. Step 5: Solve for x
    x = 10,491,095,539,356,914/68,282,578.13
  6. Step 6: Final answer
    x = 153,642,346.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.