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Finding the Third Proportional to 90,535,509 and 143,594,923.50

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Solution

The third proportional to 90,535,509 and 143,594,923.50 is: 227,750,440.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,535,509 : 143,594,923.50 = 143,594,923.50 : x
  2. Step 2: Convert to fraction form
    90,535,509/143,594,923.50 = 143,594,923.50/x
  3. Step 3: Cross multiply
    90,535,509x = 143,594,923.50 × 143,594,923.50
  4. Step 4: Simplify right side
    90,535,509x = 20,619,502,054,970,852
  5. Step 5: Solve for x
    x = 20,619,502,054,970,852/90,535,509
  6. Step 6: Final answer
    x = 227,750,440.49

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.