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Finding the Third Proportional to 153,750,662.50 and 247,589,203.50

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Solution

The third proportional to 153,750,662.50 and 247,589,203.50 is: 398,700,159.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,750,662.50 : 247,589,203.50 = 247,589,203.50 : x
  2. Step 2: Convert to fraction form
    153,750,662.50/247,589,203.50 = 247,589,203.50/x
  3. Step 3: Cross multiply
    153,750,662.50x = 247,589,203.50 × 247,589,203.50
  4. Step 4: Simplify right side
    153,750,662.50x = 61,300,413,689,764,416
  5. Step 5: Solve for x
    x = 61,300,413,689,764,416/153,750,662.50
  6. Step 6: Final answer
    x = 398,700,159.68

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.