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Finding the Third Proportional to 77,074,725 and 158,235,409.50

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Solution

The third proportional to 77,074,725 and 158,235,409.50 is: 324,859,346.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,074,725 : 158,235,409.50 = 158,235,409.50 : x
  2. Step 2: Convert to fraction form
    77,074,725/158,235,409.50 = 158,235,409.50/x
  3. Step 3: Cross multiply
    77,074,725x = 158,235,409.50 × 158,235,409.50
  4. Step 4: Simplify right side
    77,074,725x = 25,038,444,819,632,692
  5. Step 5: Solve for x
    x = 25,038,444,819,632,692/77,074,725
  6. Step 6: Final answer
    x = 324,859,346.82

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.