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Finding the Third Proportional to 282,833,044.50 and 436,355,845.50

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Solution

The third proportional to 282,833,044.50 and 436,355,845.50 is: 673,211,378.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,833,044.50 : 436,355,845.50 = 436,355,845.50 : x
  2. Step 2: Convert to fraction form
    282,833,044.50/436,355,845.50 = 436,355,845.50/x
  3. Step 3: Cross multiply
    282,833,044.50x = 436,355,845.50 × 436,355,845.50
  4. Step 4: Simplify right side
    282,833,044.50x = 190,406,423,902,019,872
  5. Step 5: Solve for x
    x = 190,406,423,902,019,872/282,833,044.50
  6. Step 6: Final answer
    x = 673,211,378.96

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.