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Finding the Third Proportional to 68,088,634.50 and 141,022,105.13

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Solution

The third proportional to 68,088,634.50 and 141,022,105.13 is: 292,078,616.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,088,634.50 : 141,022,105.13 = 141,022,105.13 : x
  2. Step 2: Convert to fraction form
    68,088,634.50/141,022,105.13 = 141,022,105.13/x
  3. Step 3: Cross multiply
    68,088,634.50x = 141,022,105.13 × 141,022,105.13
  4. Step 4: Simplify right side
    68,088,634.50x = 19,887,234,133,886,552
  5. Step 5: Solve for x
    x = 19,887,234,133,886,552/68,088,634.50
  6. Step 6: Final answer
    x = 292,078,616.06

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.