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Finding the Third Proportional to 153,242,348 and 340,496,916

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Solution

The third proportional to 153,242,348 and 340,496,916 is: 756,567,302.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,242,348 : 340,496,916 = 340,496,916 : x
  2. Step 2: Convert to fraction form
    153,242,348/340,496,916 = 340,496,916/x
  3. Step 3: Cross multiply
    153,242,348x = 340,496,916 × 340,496,916
  4. Step 4: Simplify right side
    153,242,348x = 115,938,149,805,511,056
  5. Step 5: Solve for x
    x = 115,938,149,805,511,056/153,242,348
  6. Step 6: Final answer
    x = 756,567,302.18

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.