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Finding the Third Proportional to 106,871,551.50 and 233,419,533

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Solution

The third proportional to 106,871,551.50 and 233,419,533 is: 509,814,610.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,871,551.50 : 233,419,533 = 233,419,533 : x
  2. Step 2: Convert to fraction form
    106,871,551.50/233,419,533 = 233,419,533/x
  3. Step 3: Cross multiply
    106,871,551.50x = 233,419,533 × 233,419,533
  4. Step 4: Simplify right side
    106,871,551.50x = 54,484,678,385,938,088
  5. Step 5: Solve for x
    x = 54,484,678,385,938,088/106,871,551.50
  6. Step 6: Final answer
    x = 509,814,610.35

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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.