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Finding the Third Proportional to 57,429,029.50 and 126,016,497.50

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Solution

The third proportional to 57,429,029.50 and 126,016,497.50 is: 276,517,952.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,429,029.50 : 126,016,497.50 = 126,016,497.50 : x
  2. Step 2: Convert to fraction form
    57,429,029.50/126,016,497.50 = 126,016,497.50/x
  3. Step 3: Cross multiply
    57,429,029.50x = 126,016,497.50 × 126,016,497.50
  4. Step 4: Simplify right side
    57,429,029.50x = 15,880,157,642,167,506
  5. Step 5: Solve for x
    x = 15,880,157,642,167,506/57,429,029.50
  6. Step 6: Final answer
    x = 276,517,952.34

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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.