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Finding the Third Proportional to 144,029,784 and 205,815,228

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Solution

The third proportional to 144,029,784 and 205,815,228 is: 294,105,197.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,029,784 : 205,815,228 = 205,815,228 : x
  2. Step 2: Convert to fraction form
    144,029,784/205,815,228 = 205,815,228/x
  3. Step 3: Cross multiply
    144,029,784x = 205,815,228 × 205,815,228
  4. Step 4: Simplify right side
    144,029,784x = 42,359,908,076,691,984
  5. Step 5: Solve for x
    x = 42,359,908,076,691,984/144,029,784
  6. Step 6: Final answer
    x = 294,105,197.55

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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.