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Finding the Third Proportional to 117,959,737.50 and 258,594,277.50

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Solution

The third proportional to 117,959,737.50 and 258,594,277.50 is: 566,896,822.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,959,737.50 : 258,594,277.50 = 258,594,277.50 : x
  2. Step 2: Convert to fraction form
    117,959,737.50/258,594,277.50 = 258,594,277.50/x
  3. Step 3: Cross multiply
    117,959,737.50x = 258,594,277.50 × 258,594,277.50
  4. Step 4: Simplify right side
    117,959,737.50x = 66,871,000,355,747,008
  5. Step 5: Solve for x
    x = 66,871,000,355,747,008/117,959,737.50
  6. Step 6: Final answer
    x = 566,896,822.36

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.