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Finding the Third Proportional to 99,529,142.63 and 149,293,726.88

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Solution

The third proportional to 99,529,142.63 and 149,293,726.88 is: 223,940,609.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,529,142.63 : 149,293,726.88 = 149,293,726.88 : x
  2. Step 2: Convert to fraction form
    99,529,142.63/149,293,726.88 = 149,293,726.88/x
  3. Step 3: Cross multiply
    99,529,142.63x = 149,293,726.88 × 149,293,726.88
  4. Step 4: Simplify right side
    99,529,142.63x = 22,288,616,884,227,096
  5. Step 5: Solve for x
    x = 22,288,616,884,227,096/99,529,142.63
  6. Step 6: Final answer
    x = 223,940,609.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.