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Finding the Third Proportional to 107,075,460 and 144,469,935

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Solution

The third proportional to 107,075,460 and 144,469,935 is: 194,923,861.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,075,460 : 144,469,935 = 144,469,935 : x
  2. Step 2: Convert to fraction form
    107,075,460/144,469,935 = 144,469,935/x
  3. Step 3: Cross multiply
    107,075,460x = 144,469,935 × 144,469,935
  4. Step 4: Simplify right side
    107,075,460x = 20,871,562,118,904,224
  5. Step 5: Solve for x
    x = 20,871,562,118,904,224/107,075,460
  6. Step 6: Final answer
    x = 194,923,861.35

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.