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Finding the Third Proportional to 103,707,811.69 and 226,415,677.50

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Solution

The third proportional to 103,707,811.69 and 226,415,677.50 is: 494,312,416.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,707,811.69 : 226,415,677.50 = 226,415,677.50 : x
  2. Step 2: Convert to fraction form
    103,707,811.69/226,415,677.50 = 226,415,677.50/x
  3. Step 3: Cross multiply
    103,707,811.69x = 226,415,677.50 × 226,415,677.50
  4. Step 4: Simplify right side
    103,707,811.69x = 51,264,059,017,784,008
  5. Step 5: Solve for x
    x = 51,264,059,017,784,008/103,707,811.69
  6. Step 6: Final answer
    x = 494,312,416.62

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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.