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Finding the Third Proportional to 68,282,574.75 and 102,426,045.75

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Solution

The third proportional to 68,282,574.75 and 102,426,045.75 is: 153,642,344.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,282,574.75 : 102,426,045.75 = 102,426,045.75 : x
  2. Step 2: Convert to fraction form
    68,282,574.75/102,426,045.75 = 102,426,045.75/x
  3. Step 3: Cross multiply
    68,282,574.75x = 102,426,045.75 × 102,426,045.75
  4. Step 4: Simplify right side
    68,282,574.75x = 10,491,094,847,981,094
  5. Step 5: Solve for x
    x = 10,491,094,847,981,094/68,282,574.75
  6. Step 6: Final answer
    x = 153,642,344.13

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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.