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Finding the Third Proportional to 63,382,867.50 and 137,606,677.50

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Solution

The third proportional to 63,382,867.50 and 137,606,677.50 is: 298,749,464.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,382,867.50 : 137,606,677.50 = 137,606,677.50 : x
  2. Step 2: Convert to fraction form
    63,382,867.50/137,606,677.50 = 137,606,677.50/x
  3. Step 3: Cross multiply
    63,382,867.50x = 137,606,677.50 × 137,606,677.50
  4. Step 4: Simplify right side
    63,382,867.50x = 18,935,597,692,589,008
  5. Step 5: Solve for x
    x = 18,935,597,692,589,008/63,382,867.50
  6. Step 6: Final answer
    x = 298,749,464.00

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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.