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Finding the Third Proportional to 47,209,701 and 101,593,864.50

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Solution

The third proportional to 47,209,701 and 101,593,864.50 is: 218,626,957.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,209,701 : 101,593,864.50 = 101,593,864.50 : x
  2. Step 2: Convert to fraction form
    47,209,701/101,593,864.50 = 101,593,864.50/x
  3. Step 3: Cross multiply
    47,209,701x = 101,593,864.50 × 101,593,864.50
  4. Step 4: Simplify right side
    47,209,701x = 10,321,313,304,044,360
  5. Step 5: Solve for x
    x = 10,321,313,304,044,360/47,209,701
  6. Step 6: Final answer
    x = 218,626,957.71

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.