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Finding the Third Proportional to 77,071,865.75 and 111,355,532

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Solution

The third proportional to 77,071,865.75 and 111,355,532 is: 160,889,507.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,071,865.75 : 111,355,532 = 111,355,532 : x
  2. Step 2: Convert to fraction form
    77,071,865.75/111,355,532 = 111,355,532/x
  3. Step 3: Cross multiply
    77,071,865.75x = 111,355,532 × 111,355,532
  4. Step 4: Simplify right side
    77,071,865.75x = 12,400,054,507,003,024
  5. Step 5: Solve for x
    x = 12,400,054,507,003,024/77,071,865.75
  6. Step 6: Final answer
    x = 160,889,507.30

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.