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Finding the Third Proportional to 105,522,958.50 and 229,211,326.50

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Solution

The third proportional to 105,522,958.50 and 229,211,326.50 is: 497,880,583.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,522,958.50 : 229,211,326.50 = 229,211,326.50 : x
  2. Step 2: Convert to fraction form
    105,522,958.50/229,211,326.50 = 229,211,326.50/x
  3. Step 3: Cross multiply
    105,522,958.50x = 229,211,326.50 × 229,211,326.50
  4. Step 4: Simplify right side
    105,522,958.50x = 52,537,832,195,889,600
  5. Step 5: Solve for x
    x = 52,537,832,195,889,600/105,522,958.50
  6. Step 6: Final answer
    x = 497,880,583.93

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.