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Finding the Third Proportional to 58,423,342.50 and 126,541,639.50

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Solution

The third proportional to 58,423,342.50 and 126,541,639.50 is: 274,081,999.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,423,342.50 : 126,541,639.50 = 126,541,639.50 : x
  2. Step 2: Convert to fraction form
    58,423,342.50/126,541,639.50 = 126,541,639.50/x
  3. Step 3: Cross multiply
    58,423,342.50x = 126,541,639.50 × 126,541,639.50
  4. Step 4: Simplify right side
    58,423,342.50x = 16,012,786,527,347,960
  5. Step 5: Solve for x
    x = 16,012,786,527,347,960/58,423,342.50
  6. Step 6: Final answer
    x = 274,081,999.46

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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.