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Finding the Third Proportional to 58,251,946.50 and 125,582,683.50

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Solution

The third proportional to 58,251,946.50 and 125,582,683.50 is: 270,737,912.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,251,946.50 : 125,582,683.50 = 125,582,683.50 : x
  2. Step 2: Convert to fraction form
    58,251,946.50/125,582,683.50 = 125,582,683.50/x
  3. Step 3: Cross multiply
    58,251,946.50x = 125,582,683.50 × 125,582,683.50
  4. Step 4: Simplify right side
    58,251,946.50x = 15,771,010,395,061,172
  5. Step 5: Solve for x
    x = 15,771,010,395,061,172/58,251,946.50
  6. Step 6: Final answer
    x = 270,737,912.51

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.