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Finding the Third Proportional to 145,822,842 and 344,228,769

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Solution

The third proportional to 145,822,842 and 344,228,769 is: 812,584,940.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,822,842 : 344,228,769 = 344,228,769 : x
  2. Step 2: Convert to fraction form
    145,822,842/344,228,769 = 344,228,769/x
  3. Step 3: Cross multiply
    145,822,842x = 344,228,769 × 344,228,769
  4. Step 4: Simplify right side
    145,822,842x = 118,493,445,407,255,360
  5. Step 5: Solve for x
    x = 118,493,445,407,255,360/145,822,842
  6. Step 6: Final answer
    x = 812,584,940.62

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.