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Finding the Third Proportional to 71,999,154.75 and 158,012,382.75

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Solution

The third proportional to 71,999,154.75 and 158,012,382.75 is: 346,780,641.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,999,154.75 : 158,012,382.75 = 158,012,382.75 : x
  2. Step 2: Convert to fraction form
    71,999,154.75/158,012,382.75 = 158,012,382.75/x
  3. Step 3: Cross multiply
    71,999,154.75x = 158,012,382.75 × 158,012,382.75
  4. Step 4: Simplify right side
    71,999,154.75x = 24,967,913,102,332,496
  5. Step 5: Solve for x
    x = 24,967,913,102,332,496/71,999,154.75
  6. Step 6: Final answer
    x = 346,780,641.93

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.