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Finding the Third Proportional to 106,871,548.50 and 233,419,527

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Solution

The third proportional to 106,871,548.50 and 233,419,527 is: 509,814,598.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,871,548.50 : 233,419,527 = 233,419,527 : x
  2. Step 2: Convert to fraction form
    106,871,548.50/233,419,527 = 233,419,527/x
  3. Step 3: Cross multiply
    106,871,548.50x = 233,419,527 × 233,419,527
  4. Step 4: Simplify right side
    106,871,548.50x = 54,484,675,584,903,728
  5. Step 5: Solve for x
    x = 54,484,675,584,903,728/106,871,548.50
  6. Step 6: Final answer
    x = 509,814,598.46

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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.