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Finding the Third Proportional to 231,282,442.50 and 504,946,871.25

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Solution

The third proportional to 231,282,442.50 and 504,946,871.25 is: 1,102,424,118.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,282,442.50 : 504,946,871.25 = 504,946,871.25 : x
  2. Step 2: Convert to fraction form
    231,282,442.50/504,946,871.25 = 504,946,871.25/x
  3. Step 3: Cross multiply
    231,282,442.50x = 504,946,871.25 × 504,946,871.25
  4. Step 4: Simplify right side
    231,282,442.50x = 254,971,342,785,164,064
  5. Step 5: Solve for x
    x = 254,971,342,785,164,064/231,282,442.50
  6. Step 6: Final answer
    x = 1,102,424,118.45

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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.