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Finding the Third Proportional to 76,928,474 and 110,000,343

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Solution

The third proportional to 76,928,474 and 110,000,343 is: 157,289,945.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,928,474 : 110,000,343 = 110,000,343 : x
  2. Step 2: Convert to fraction form
    76,928,474/110,000,343 = 110,000,343/x
  3. Step 3: Cross multiply
    76,928,474x = 110,000,343 × 110,000,343
  4. Step 4: Simplify right side
    76,928,474x = 12,100,075,460,117,648
  5. Step 5: Solve for x
    x = 12,100,075,460,117,648/76,928,474
  6. Step 6: Final answer
    x = 157,289,945.20

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.