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Finding the Third Proportional to 152,271,366 and 225,641,788.50

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Solution

The third proportional to 152,271,366 and 225,641,788.50 is: 334,365,009.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,271,366 : 225,641,788.50 = 225,641,788.50 : x
  2. Step 2: Convert to fraction form
    152,271,366/225,641,788.50 = 225,641,788.50/x
  3. Step 3: Cross multiply
    152,271,366x = 225,641,788.50 × 225,641,788.50
  4. Step 4: Simplify right side
    152,271,366x = 50,914,216,717,478,736
  5. Step 5: Solve for x
    x = 50,914,216,717,478,736/152,271,366
  6. Step 6: Final answer
    x = 334,365,009.36

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Why These Related Problems?

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