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Finding the Third Proportional to 109,344,603.38 and 223,088,354.72

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Solution

The third proportional to 109,344,603.38 and 223,088,354.72 is: 455,151,991.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,344,603.38 : 223,088,354.72 = 223,088,354.72 : x
  2. Step 2: Convert to fraction form
    109,344,603.38/223,088,354.72 = 223,088,354.72/x
  3. Step 3: Cross multiply
    109,344,603.38x = 223,088,354.72 × 223,088,354.72
  4. Step 4: Simplify right side
    109,344,603.38x = 49,768,414,011,118,824
  5. Step 5: Solve for x
    x = 49,768,414,011,118,824/109,344,603.38
  6. Step 6: Final answer
    x = 455,151,991.73

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.