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Finding the Third Proportional to 153,242,361 and 340,496,946

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Solution

The third proportional to 153,242,361 and 340,496,946 is: 756,567,371.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,242,361 : 340,496,946 = 340,496,946 : x
  2. Step 2: Convert to fraction form
    153,242,361/340,496,946 = 340,496,946/x
  3. Step 3: Cross multiply
    153,242,361x = 340,496,946 × 340,496,946
  4. Step 4: Simplify right side
    153,242,361x = 115,938,170,235,326,912
  5. Step 5: Solve for x
    x = 115,938,170,235,326,912/153,242,361
  6. Step 6: Final answer
    x = 756,567,371.31

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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.