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Finding the Third Proportional to 135,177,312 and 277,520,782.50

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Solution

The third proportional to 135,177,312 and 277,520,782.50 is: 569,753,781.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,177,312 : 277,520,782.50 = 277,520,782.50 : x
  2. Step 2: Convert to fraction form
    135,177,312/277,520,782.50 = 277,520,782.50/x
  3. Step 3: Cross multiply
    135,177,312x = 277,520,782.50 × 277,520,782.50
  4. Step 4: Simplify right side
    135,177,312x = 77,017,784,719,412,304
  5. Step 5: Solve for x
    x = 77,017,784,719,412,304/135,177,312
  6. Step 6: Final answer
    x = 569,753,781.75

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.