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Finding the Third Proportional to 54,943,985.81 and 119,453,909.63

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Solution

The third proportional to 54,943,985.81 and 119,453,909.63 is: 259,705,158.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,943,985.81 : 119,453,909.63 = 119,453,909.63 : x
  2. Step 2: Convert to fraction form
    54,943,985.81/119,453,909.63 = 119,453,909.63/x
  3. Step 3: Cross multiply
    54,943,985.81x = 119,453,909.63 × 119,453,909.63
  4. Step 4: Simplify right side
    54,943,985.81x = 14,269,236,524,697,668
  5. Step 5: Solve for x
    x = 14,269,236,524,697,668/54,943,985.81
  6. Step 6: Final answer
    x = 259,705,158.15

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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.