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Finding the Third Proportional to 152,833,767 and 335,692,162.50

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Solution

The third proportional to 152,833,767 and 335,692,162.50 is: 737,332,005.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,833,767 : 335,692,162.50 = 335,692,162.50 : x
  2. Step 2: Convert to fraction form
    152,833,767/335,692,162.50 = 335,692,162.50/x
  3. Step 3: Cross multiply
    152,833,767x = 335,692,162.50 × 335,692,162.50
  4. Step 4: Simplify right side
    152,833,767x = 112,689,227,963,926,400
  5. Step 5: Solve for x
    x = 112,689,227,963,926,400/152,833,767
  6. Step 6: Final answer
    x = 737,332,005.72

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.