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Finding the Third Proportional to 158,865,972 and 342,824,232

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Solution

The third proportional to 158,865,972 and 342,824,232 is: 739,796,273.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,865,972 : 342,824,232 = 342,824,232 : x
  2. Step 2: Convert to fraction form
    158,865,972/342,824,232 = 342,824,232/x
  3. Step 3: Cross multiply
    158,865,972x = 342,824,232 × 342,824,232
  4. Step 4: Simplify right side
    158,865,972x = 117,528,454,046,389,824
  5. Step 5: Solve for x
    x = 117,528,454,046,389,824/158,865,972
  6. Step 6: Final answer
    x = 739,796,273.34

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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.