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Finding the Third Proportional to 106,871,552 and 233,419,536

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Solution

The third proportional to 106,871,552 and 233,419,536 is: 509,814,621.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,871,552 : 233,419,536 = 233,419,536 : x
  2. Step 2: Convert to fraction form
    106,871,552/233,419,536 = 233,419,536/x
  3. Step 3: Cross multiply
    106,871,552x = 233,419,536 × 233,419,536
  4. Step 4: Simplify right side
    106,871,552x = 54,484,679,786,455,296
  5. Step 5: Solve for x
    x = 54,484,679,786,455,296/106,871,552
  6. Step 6: Final answer
    x = 509,814,621.07

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.