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Finding the Third Proportional to 59,118,753.75 and 138,128,084.63

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Solution

The third proportional to 59,118,753.75 and 138,128,084.63 is: 322,729,532.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,118,753.75 : 138,128,084.63 = 138,128,084.63 : x
  2. Step 2: Convert to fraction form
    59,118,753.75/138,128,084.63 = 138,128,084.63/x
  3. Step 3: Cross multiply
    59,118,753.75x = 138,128,084.63 × 138,128,084.63
  4. Step 4: Simplify right side
    59,118,753.75x = 19,079,367,762,171,160
  5. Step 5: Solve for x
    x = 19,079,367,762,171,160/59,118,753.75
  6. Step 6: Final answer
    x = 322,729,532.54

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.