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Finding the Third Proportional to 103,358,095.88 and 225,493,277.63

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Solution

The third proportional to 103,358,095.88 and 225,493,277.63 is: 491,951,963.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,358,095.88 : 225,493,277.63 = 225,493,277.63 : x
  2. Step 2: Convert to fraction form
    103,358,095.88/225,493,277.63 = 225,493,277.63/x
  3. Step 3: Cross multiply
    103,358,095.88x = 225,493,277.63 × 225,493,277.63
  4. Step 4: Simplify right side
    103,358,095.88x = 50,847,218,254,065,328
  5. Step 5: Solve for x
    x = 50,847,218,254,065,328/103,358,095.88
  6. Step 6: Final answer
    x = 491,951,963.93

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.