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Finding the Third Proportional to 103,417,861.22 and 153,661,672.69

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Solution

The third proportional to 103,417,861.22 and 153,661,672.69 is: 228,315,586.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,417,861.22 : 153,661,672.69 = 153,661,672.69 : x
  2. Step 2: Convert to fraction form
    103,417,861.22/153,661,672.69 = 153,661,672.69/x
  3. Step 3: Cross multiply
    103,417,861.22x = 153,661,672.69 × 153,661,672.69
  4. Step 4: Simplify right side
    103,417,861.22x = 23,611,909,653,120,384
  5. Step 5: Solve for x
    x = 23,611,909,653,120,384/103,417,861.22
  6. Step 6: Final answer
    x = 228,315,586.64

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.