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Finding the Third Proportional to 135,352,320 and 200,570,472

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Solution

The third proportional to 135,352,320 and 200,570,472 is: 297,213,333.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,352,320 : 200,570,472 = 200,570,472 : x
  2. Step 2: Convert to fraction form
    135,352,320/200,570,472 = 200,570,472/x
  3. Step 3: Cross multiply
    135,352,320x = 200,570,472 × 200,570,472
  4. Step 4: Simplify right side
    135,352,320x = 40,228,514,238,302,784
  5. Step 5: Solve for x
    x = 40,228,514,238,302,784/135,352,320
  6. Step 6: Final answer
    x = 297,213,333.60

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.