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Finding the Third Proportional to 109,071,853.50 and 233,260,249.50

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Solution

The third proportional to 109,071,853.50 and 233,260,249.50 is: 498,848,623.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,071,853.50 : 233,260,249.50 = 233,260,249.50 : x
  2. Step 2: Convert to fraction form
    109,071,853.50/233,260,249.50 = 233,260,249.50/x
  3. Step 3: Cross multiply
    109,071,853.50x = 233,260,249.50 × 233,260,249.50
  4. Step 4: Simplify right side
    109,071,853.50x = 54,410,343,996,802,248
  5. Step 5: Solve for x
    x = 54,410,343,996,802,248/109,071,853.50
  6. Step 6: Final answer
    x = 498,848,623.64

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.