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Finding the Third Proportional to 183,696,842.25 and 284,430,292.59

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Solution

The third proportional to 183,696,842.25 and 284,430,292.59 is: 440,402,732.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,696,842.25 : 284,430,292.59 = 284,430,292.59 : x
  2. Step 2: Convert to fraction form
    183,696,842.25/284,430,292.59 = 284,430,292.59/x
  3. Step 3: Cross multiply
    183,696,842.25x = 284,430,292.59 × 284,430,292.59
  4. Step 4: Simplify right side
    183,696,842.25x = 80,900,591,344,971,936
  5. Step 5: Solve for x
    x = 80,900,591,344,971,936/183,696,842.25
  6. Step 6: Final answer
    x = 440,402,732.86

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.