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Finding the Third Proportional to 224,370,370 and 335,318,927

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Solution

The third proportional to 224,370,370 and 335,318,927 is: 501,130,264.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,370,370 : 335,318,927 = 335,318,927 : x
  2. Step 2: Convert to fraction form
    224,370,370/335,318,927 = 335,318,927/x
  3. Step 3: Cross multiply
    224,370,370x = 335,318,927 × 335,318,927
  4. Step 4: Simplify right side
    224,370,370x = 112,438,782,804,431,328
  5. Step 5: Solve for x
    x = 112,438,782,804,431,328/224,370,370
  6. Step 6: Final answer
    x = 501,130,264.23

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.