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Finding the Third Proportional to 205,142,592 and 293,334,240

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Solution

The third proportional to 205,142,592 and 293,334,240 is: 419,439,841.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,142,592 : 293,334,240 = 293,334,240 : x
  2. Step 2: Convert to fraction form
    205,142,592/293,334,240 = 293,334,240/x
  3. Step 3: Cross multiply
    205,142,592x = 293,334,240 × 293,334,240
  4. Step 4: Simplify right side
    205,142,592x = 86,044,976,356,377,600
  5. Step 5: Solve for x
    x = 86,044,976,356,377,600/205,142,592
  6. Step 6: Final answer
    x = 419,439,841.90

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.