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Finding the Third Proportional to 219,487,698 and 320,991,342.75

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Solution

The third proportional to 219,487,698 and 320,991,342.75 is: 469,436,068.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,487,698 : 320,991,342.75 = 320,991,342.75 : x
  2. Step 2: Convert to fraction form
    219,487,698/320,991,342.75 = 320,991,342.75/x
  3. Step 3: Cross multiply
    219,487,698x = 320,991,342.75 × 320,991,342.75
  4. Step 4: Simplify right side
    219,487,698x = 103,035,442,120,447,984
  5. Step 5: Solve for x
    x = 103,035,442,120,447,984/219,487,698
  6. Step 6: Final answer
    x = 469,436,068.90

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.